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137503920 = 2435572933
BaseRepresentation
bin10000011001000…
…10010010110000
3100120201220220210
420030202102300
5240200111140
621351104120
73256523031
oct1014422260
9316656823
10137503920
1170687804
123a072040
1322645188
1414394a88
15c111d80
hex83224b0

137503920 has 40 divisors (see below), whose sum is σ = 426262896. Its totient is φ = 36667648.

The previous prime is 137503907. The next prime is 137503967. The reversal of 137503920 is 29305731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286227 + ... + 286706.

Almost surely, 2137503920 is an apocalyptic number.

137503920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137503920 is an abundant number, since it is smaller than the sum of its proper divisors (288758976).

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

137503920 is a wasteful number, since it uses less digits than its factorization.

137503920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572949 (or 572943 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 137503920 is about 11726.2065477289. The cubic root of 137503920 is about 516.1449625762.

The spelling of 137503920 in words is "one hundred thirty-seven million, five hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 572933 1145866 1718799 2291732 2864665 3437598 4583464 5729330 6875196 8593995 9166928 11458660 13750392 17187990 22917320 27500784 34375980 45834640 68751960 137503920