137522529 has 15 divisors (see below), whose sum is σ = 205592673. Its totient is φ = 91611324.

The previous prime is 137522519. The next prime is 137522563. The reversal of 137522529 is 925225731.

The square root of 137522529 is 11727.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 137522529 - 2¹³ = 137514337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137522493 and 137522502.

It is not an unprimeable number, because it can be changed into a prime (137522519) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 104892 + ... + 106194.

Almost surely, 2^137522529 is an apocalyptic number.

137522529 is the 11727-th square number.

137522529 is the 5864-th centered octagonal number.

It is an amenable number.

137522529 is a deficient number, since it is larger than the sum of its proper divisors (68070144).

137522529 is an frugal number, since it uses more digits than its factorization.

137522529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 1306 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The cubic root of 137522529 is about 516.1682455690.

Multiplying 137522529 by its sum of digits (36), we get a square (4950811044 = 70362²).

The spelling of 137522529 in words is "one hundred thirty-seven million, five hundred twenty-two thousand, five hundred twenty-nine".