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137513940 = 22352979031
BaseRepresentation
bin10000011001001…
…00101111010100
3100120202102122220
420030210233110
5240200421230
621351222340
73256564164
oct1014445724
9316672586
10137513940
1170694293
123a0779b0
13226498c5
14143985a4
15c114d10
hex8324bd4

137513940 has 48 divisors (see below), whose sum is σ = 398321280. Its totient is φ = 35405440.

The previous prime is 137513933. The next prime is 137513977. The reversal of 137513940 is 49315731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37776 + ... + 41255.

It is an arithmetic number, because the mean of its divisors is an integer number (8298360).

Almost surely, 2137513940 is an apocalyptic number.

137513940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137513940 is an abundant number, since it is smaller than the sum of its proper divisors (260807340).

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

137513940 is a wasteful number, since it uses less digits than its factorization.

137513940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79072 (or 79070 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 137513940 is about 11726.6337880911. The cubic root of 137513940 is about 516.1574995446.

The spelling of 137513940 in words is "one hundred thirty-seven million, five hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 79031 158062 237093 316124 395155 474186 790310 948372 1185465 1580620 2291899 2370930 4583798 4741860 6875697 9167596 11459495 13751394 22918990 27502788 34378485 45837980 68756970 137513940