137138529 has 16 divisors (see below), whose sum is σ = 201003264. Its totient is φ = 82477200.

The previous prime is 137138509. The next prime is 137138543. The reversal of 137138529 is 925831731.

It is not a de Polignac number, because 137138529 - 2¹¹ = 137136481 is a prime.

It is a super-2 number, since 2×137138529² = 37613952272567682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137138509) 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, 11539 + ... + 20184.

It is an arithmetic number, because the mean of its divisors is an integer number (12562704).

Almost surely, 2^137138529 is an apocalyptic number.

It is an amenable number.

137138529 is a deficient number, since it is larger than the sum of its proper divisors (63864735).

137138529 is a wasteful number, since it uses less digits than its factorization.

137138529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31868.

The product of its digits is 45360, while the sum is 39.

The square root of 137138529 is about 11710.6160811462. The cubic root of 137138529 is about 515.6873707179.

The spelling of 137138529 in words is "one hundred thirty-seven million, one hundred thirty-eight thousand, five hundred twenty-nine".