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136413552 = 243112347239
BaseRepresentation
bin10000010000110…
…00000101110000
3100111200112012210
420020120011300
5234410213202
621311452120
73244332102
oct1010300560
9314615183
10136413552
1170002580
1239827040
1322352aa2
141418d572
15be98c6c
hex8218170

136413552 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 38536960.

The previous prime is 136413539. The next prime is 136413569. The reversal of 136413552 is 255314631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570649 + ... + 570887.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2136413552 is an apocalyptic number.

136413552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

136413552 is an abundant number, since it is smaller than the sum of its proper divisors (274988688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136413552 is a wasteful number, since it uses less digits than its factorization.

136413552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 136413552 is about 11679.6212267351. The cubic root of 136413552 is about 514.7770449125. Note that the first 3 decimals are identical.

The spelling of 136413552 in words is "one hundred thirty-six million, four hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 47 48 66 69 88 92 94 132 138 141 176 184 188 239 253 264 276 282 368 376 478 506 517 528 552 564 717 752 759 956 1012 1034 1081 1104 1128 1434 1518 1551 1912 2024 2068 2162 2256 2629 2868 3036 3102 3243 3824 4048 4136 4324 5258 5497 5736 6072 6204 6486 7887 8272 8648 10516 10994 11233 11472 11891 12144 12408 12972 15774 16491 17296 21032 21988 22466 23782 24816 25944 31548 32982 33699 35673 42064 43976 44932 47564 51888 60467 63096 65964 67398 71346 87952 89864 95128 120934 123563 126192 131928 134796 142692 179728 181401 190256 241868 247126 258359 263856 269592 285384 362802 370689 483736 494252 516718 539184 570768 725604 741378 775077 967472 988504 1033436 1451208 1482756 1550154 1977008 2066872 2841949 2902416 2965512 3100308 4133744 5683898 5931024 6200616 8525847 11367796 12401232 17051694 22735592 34103388 45471184 68206776 136413552