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137894601 = 31331111369
BaseRepresentation
bin10000011100000…
…01101011001001
3100121110202211110
420032001223021
5240300111401
621403320533
73263041035
oct1016015311
9317422743
10137894601
1170924289
123a220149
1322750c50
14144571c5
15c18c9d6
hex8381ac9

137894601 has 16 divisors (see below), whose sum is σ = 198656640. Its totient is φ = 84577920.

The previous prime is 137894573. The next prime is 137894611. The reversal of 137894601 is 106498731.

It is not a de Polignac number, because 137894601 - 210 = 137893577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137894601.

It is not an unprimeable number, because it can be changed into a prime (137894611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6445 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (12416040).

Almost surely, 2137894601 is an apocalyptic number.

It is an amenable number.

137894601 is a deficient number, since it is larger than the sum of its proper divisors (60762039).

137894601 is a wasteful number, since it uses less digits than its factorization.

137894601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 137894601 is about 11742.8531882162. The cubic root of 137894601 is about 516.6333301187.

The spelling of 137894601 in words is "one hundred thirty-seven million, eight hundred ninety-four thousand, six hundred one".

Divisors: 1 3 13 39 311 933 4043 11369 12129 34107 147797 443391 3535759 10607277 45964867 137894601