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134188272 = 24331072903
BaseRepresentation
bin1111111111110…
…00110011110000
3100100111110201000
413333320303300
5233323011042
621152042000
73216403311
oct777706360
9310443630
10134188272
11698226a9
1238b33300
1321a53c5a
1413b70608
15bba974c
hex7ff8cf0

134188272 has 80 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 44296128.

The previous prime is 134188267. The next prime is 134188289. The reversal of 134188272 is 272881431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44773 + ... + 47675.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2134188272 is an apocalyptic number.

134188272 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 134188272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

134188272 is an abundant number, since it is smaller than the sum of its proper divisors (254715408).

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

134188272 is a wasteful number, since it uses less digits than its factorization.

134188272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3015 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 134188272 is about 11583.9661601716. The cubic root of 134188272 is about 511.9625420188.

The spelling of 134188272 in words is "one hundred thirty-four million, one hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 2903 3852 5136 5778 5806 7704 8709 11556 11612 15408 17418 23112 23224 26127 34836 46224 46448 52254 69672 78381 104508 139344 156762 209016 310621 313524 418032 621242 627048 931863 1242484 1254096 1863726 2484968 2795589 3727452 4969936 5591178 7454904 8386767 11182356 14909808 16773534 22364712 33547068 44729424 67094136 134188272