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137320164 = 22331271483
BaseRepresentation
bin10000010111101…
…01011011100100
3100120101120212000
420023311123210
5240123221124
621343125300
73255126222
oct1013653344
9316346760
10137320164
1170571743
1239ba3830
13225ac647
1414347b12
15c0c76c9
hex82f56e4

137320164 has 24 divisors (see below), whose sum is σ = 356015520. Its totient is φ = 45773352.

The previous prime is 137320159. The next prime is 137320171. The reversal of 137320164 is 461023731.

137320164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 635634 + ... + 635849.

It is an arithmetic number, because the mean of its divisors is an integer number (14833980).

Almost surely, 2137320164 is an apocalyptic number.

It is an amenable number.

137320164 is an abundant number, since it is smaller than the sum of its proper divisors (218695356).

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

137320164 is a wasteful number, since it uses less digits than its factorization.

137320164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271496 (or 1271488 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137320164 is about 11718.3686577953. The cubic root of 137320164 is about 515.9149400083.

Adding to 137320164 its reverse (461023731), we get a palindrome (598343895).

The spelling of 137320164 in words is "one hundred thirty-seven million, three hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1271483 2542966 3814449 5085932 7628898 11443347 15257796 22886694 34330041 45773388 68660082 137320164