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137746924 = 227137149241
BaseRepresentation
bin10000011010111…
…01100111101100
3100121012021020221
420031131213230
5240230400144
621400221124
73261554350
oct1015354754
9317167227
10137746924
1170833337
123a16a7a4
13226cb973
1414419460
15c15dd84
hex835d9ec

137746924 has 48 divisors (see below), whose sum is σ = 280526400. Its totient is φ = 57968640.

The previous prime is 137746913. The next prime is 137746927. The reversal of 137746924 is 429647731.

137746924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137746927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571444 + ... + 571684.

It is an arithmetic number, because the mean of its divisors is an integer number (5844300).

Almost surely, 2137746924 is an apocalyptic number.

137746924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137746924 is an abundant number, since it is smaller than the sum of its proper divisors (142779476).

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

137746924 is a wasteful number, since it uses less digits than its factorization.

137746924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 137746924 is about 11736.5635515682. The cubic root of 137746924 is about 516.4488362813.

The spelling of 137746924 in words is "one hundred thirty-seven million, seven hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 137 149 241 274 298 482 548 596 959 964 1043 1687 1918 2086 3374 3836 4172 6748 20413 33017 35909 40826 66034 71818 81652 132068 142891 143636 231119 251363 285782 462238 502726 571564 924476 1005452 4919533 9839066 19678132 34436731 68873462 137746924