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137012544 = 2632793011
BaseRepresentation
bin10000010101010…
…10010101000000
3100112210221212200
420022222111000
5240033400134
621332353200
73252405324
oct1012522500
9315727780
10137012544
1170381609
1239a75800
1322502616
14142a7984
15c066499
hex82aa540

137012544 has 84 divisors (see below), whose sum is σ = 397824960. Its totient is φ = 45077760.

The previous prime is 137012543. The next prime is 137012549. The reversal of 137012544 is 445210731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137012543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43999 + ... + 47009.

Almost surely, 2137012544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198912480).

137012544 is an abundant number, since it is smaller than the sum of its proper divisors (260812416).

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

137012544 is a wasteful number, since it uses less digits than its factorization.

137012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 137012544 is about 11705.2357515772. The cubic root of 137012544 is about 515.5294068959.

The spelling of 137012544 in words is "one hundred thirty-seven million, twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3011 3792 5056 5688 6022 7584 9033 11376 12044 15168 18066 22752 24088 27099 36132 45504 48176 54198 72264 96352 108396 144528 192704 216792 237869 289056 433584 475738 578112 713607 867168 951476 1427214 1734336 1902952 2140821 2854428 3805904 4281642 5708856 7611808 8563284 11417712 15223616 17126568 22835424 34253136 45670848 68506272 137012544