137509677 has 32 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 87030720.

The previous prime is 137509667. The next prime is 137509679. The reversal of 137509677 is 776905731.

137509677 is a `hidden beast` number, since 137 + 509 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 137509677 - 2²² = 133315373 is a prime.

It is a super-2 number, since 2×137509677² = 37817822537288658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137509679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46324 + ... + 49202.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2^137509677 is an apocalyptic number.

It is an amenable number.

137509677 is a deficient number, since it is larger than the sum of its proper divisors (76762323).

137509677 is a wasteful number, since it uses less digits than its factorization.

137509677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 137509677 is about 11726.4520209653. The cubic root of 137509677 is about 516.1521657771.

The spelling of 137509677 in words is "one hundred thirty-seven million, five hundred nine thousand, six hundred seventy-seven".