137147521 has 15 divisors (see below), whose sum is σ = 160668161. Its totient is φ = 117063156.

The previous prime is 137147513. The next prime is 137147531. The reversal of 137147521 is 125741731.

The square root of 137147521 is 11711.

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

It is not a de Polignac number, because 137147521 - 2³ = 137147513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137147531) 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, 573720 + ... + 573958.

Almost surely, 2^137147521 is an apocalyptic number.

137147521 is the 11711-st square number.

137147521 is the 5856-th centered octagonal number.

It is an amenable number.

137147521 is a deficient number, since it is larger than the sum of its proper divisors (23520640).

137147521 is an frugal number, since it uses more digits than its factorization.

137147521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 246 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The cubic root of 137147521 is about 515.6986414612.

Subtracting from 137147521 its product of digits (5880), we obtain a triangular number (137141641 = T₁₆₅₆₁).

The spelling of 137147521 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, five hundred twenty-one".