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137076121 = 71310131487
BaseRepresentation
bin10000010101110…
…01110110011001
3100112221012002101
420022321312121
5240042413441
621334003401
73253061560
oct1012716631
9315835071
10137076121
1170415356
1239aa6561
1322525540
14142c2bd7
15c07a231
hex82b9d99

137076121 has 16 divisors (see below), whose sum is σ = 168989184. Its totient is φ = 108275904.

The previous prime is 137076103. The next prime is 137076133. The reversal of 137076121 is 121670731.

137076121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137076121 - 211 = 137074073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137076121.

It is not an unprimeable number, because it can be changed into a prime (137076521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91440 + ... + 92926.

It is an arithmetic number, because the mean of its divisors is an integer number (10561824).

Almost surely, 2137076121 is an apocalyptic number.

It is an amenable number.

137076121 is a deficient number, since it is larger than the sum of its proper divisors (31913063).

137076121 is a wasteful number, since it uses less digits than its factorization.

137076121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 137076121 is about 11707.9511871207. The cubic root of 137076121 is about 515.6091337683.

The spelling of 137076121 in words is "one hundred thirty-seven million, seventy-six thousand, one hundred twenty-one".

Divisors: 1 7 13 91 1013 1487 7091 10409 13169 19331 92183 135317 1506331 10544317 19582303 137076121