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137304992 = 2511235461
BaseRepresentation
bin10000010111100…
…01101110100000
3100120100211001002
420023301232200
5240122224432
621342531132
73255034046
oct1013615640
9316324032
10137304992
1170561300
1239b96aa8
13225a5776
1414342396
15c0c2e62
hex82f1ba0

137304992 has 36 divisors (see below), whose sum is σ = 297136098. Its totient is φ = 62409600.

The previous prime is 137304989. The next prime is 137305013. The reversal of 137304992 is 299403731.

It can be written as a sum of positive squares in only one way, i.e., 121969936 + 15335056 = 11044^2 + 3916^2 .

It is a super-3 number, since 3×1373049923 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13859 + ... + 21602.

Almost surely, 2137304992 is an apocalyptic number.

It is an amenable number.

137304992 is an abundant number, since it is smaller than the sum of its proper divisors (159831106).

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

137304992 is a wasteful number, since it uses less digits than its factorization.

137304992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35493 (or 35474 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 137304992 is about 11717.7212801807. The cubic root of 137304992 is about 515.8959387935.

The spelling of 137304992 in words is "one hundred thirty-seven million, three hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 35461 70922 141844 283688 390071 567376 780142 1134752 1560284 3120568 4290781 6241136 8581562 12482272 17163124 34326248 68652496 137304992