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137106552 = 233112311523
BaseRepresentation
bin10000010110000…
…01010001111000
3100112222201211110
420023001101320
5240044402202
621334400320
73253246362
oct1013012170
9315881743
10137106552
1170436200
1239b000a0
132253634b
14142cdd32
15c08426c
hex82c1478

137106552 has 96 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 40180800.

The previous prime is 137106539. The next prime is 137106553. The reversal of 137106552 is 255601731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137106553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89263 + ... + 90785.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2137106552 is an apocalyptic number.

137106552 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 137106552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

137106552 is an abundant number, since it is smaller than the sum of its proper divisors (252062088).

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

137106552 is a wasteful number, since it uses less digits than its factorization.

137106552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 137106552 is about 11709.2507019023. The cubic root of 137106552 is about 515.6472861479.

The spelling of 137106552 in words is "one hundred thirty-seven million, one hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 1523 2046 2728 2904 3046 3751 4092 4569 6092 7502 8184 9138 11253 12184 15004 16753 18276 22506 30008 33506 36552 45012 47213 50259 67012 90024 94426 100518 134024 141639 184283 188852 201036 283278 368566 377704 402072 519343 552849 566556 737132 1038686 1105698 1133112 1474264 1558029 2077372 2211396 3116058 4154744 4422792 5712773 6232116 11425546 12464232 17138319 22851092 34276638 45702184 68553276 137106552