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137600532 = 2234424693
BaseRepresentation
bin10000011001110…
…01111000010100
3100120220211110000
420030321320110
5240211204112
621353131300
73260404506
oct1014717024
9316824400
10137600532
1170743353
123a0b9b30
132267a144
14143bbd76
15c1307dc
hex8339e14

137600532 has 30 divisors (see below), whose sum is σ = 359715818. Its totient is φ = 45866736.

The previous prime is 137600531. The next prime is 137600549. The reversal of 137600532 is 235006731.

It is a happy number.

137600532 is a `hidden beast` number, since 1 + 3 + 7 + 600 + 53 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135629316 + 1971216 = 11646^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137600496 and 137600505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137600531) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212023 + ... + 212670.

Almost surely, 2137600532 is an apocalyptic number.

137600532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137600532 is an abundant number, since it is smaller than the sum of its proper divisors (222115286).

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

137600532 is a wasteful number, since it uses less digits than its factorization.

137600532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424709 (or 424698 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137600532 is about 11730.3253151820. The cubic root of 137600532 is about 516.2658176105.

The spelling of 137600532 in words is "one hundred thirty-seven million, six hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 424693 849386 1274079 1698772 2548158 3822237 5096316 7644474 11466711 15288948 22933422 34400133 45866844 68800266 137600532