137625521 has 12 divisors (see below), whose sum is σ = 151939200. Its totient is φ = 124564440.

The previous prime is 137625487. The next prime is 137625599. The reversal of 137625521 is 125526731.

It is not a de Polignac number, because 137625521 - 2⁶ = 137625457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137621521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26540 + ... + 31298.

It is an arithmetic number, because the mean of its divisors is an integer number (12661600).

Almost surely, 2^137625521 is an apocalyptic number.

137625521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137625521 is a deficient number, since it is larger than the sum of its proper divisors (14313679).

137625521 is a wasteful number, since it uses less digits than its factorization.

137625521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5009 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 137625521 is about 11731.3904120526. The cubic root of 137625521 is about 516.2970679393.

The spelling of 137625521 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, five hundred twenty-one".