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137316120 = 23351144301
BaseRepresentation
bin10000010111101…
…00011100011000
3100120101101022020
420023310130120
5240123103440
621343054440
73255111354
oct1013643430
9316341266
10137316120
11705696a7
1239ba1420
13225aa856
1414346464
15c0c63d0
hex82f4718

137316120 has 32 divisors (see below), whose sum is σ = 411948720. Its totient is φ = 36617600.

The previous prime is 137316119. The next prime is 137316121. The reversal of 137316120 is 21613731.

It is an interprime number because it is at equal distance from previous prime (137316119) and next prime (137316121).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137316121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572031 + ... + 572270.

Almost surely, 2137316120 is an apocalyptic number.

137316120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137316120 is an abundant number, since it is smaller than the sum of its proper divisors (274632600).

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

137316120 is a wasteful number, since it uses less digits than its factorization.

137316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144315 (or 1144311 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137316120 is about 11718.1961069100. The cubic root of 137316120 is about 515.9098754923.

Adding to 137316120 its reverse (21613731), we get a palindrome (158929851).

The spelling of 137316120 in words is "one hundred thirty-seven million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1144301 2288602 3432903 4577204 5721505 6865806 9154408 11443010 13731612 17164515 22886020 27463224 34329030 45772040 68658060 137316120