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137954538 = 23249915359
BaseRepresentation
bin10000011100100…
…00010011101010
3100121120211001100
420032100103222
5240304021123
621404502230
73263410551
oct1016202352
9317524040
10137954538
1170965317
123a24a976
1322772307
1414470d98
15c1a0643
hex83904ea

137954538 has 24 divisors (see below), whose sum is σ = 299520000. Its totient is φ = 45889704.

The previous prime is 137954527. The next prime is 137954563. The reversal of 137954538 is 835459731.

137954538 is a `hidden beast` number, since 1 + 3 + 79 + 545 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137954493 and 137954502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (12480000).

Almost surely, 2137954538 is an apocalyptic number.

137954538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137954538 is an abundant number, since it is smaller than the sum of its proper divisors (161565462).

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

137954538 is a wasteful number, since it uses less digits than its factorization.

137954538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866 (or 15863 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 137954538 is about 11745.4049738611. The cubic root of 137954538 is about 516.7081722235.

The spelling of 137954538 in words is "one hundred thirty-seven million, nine hundred fifty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 499 998 1497 2994 4491 8982 15359 30718 46077 92154 138231 276462 7664141 15328282 22992423 45984846 68977269 137954538