137625 has 16 divisors (see below), whose sum is σ = 229632. Its totient is φ = 73200.

The previous prime is 137623. The next prime is 137633. The reversal of 137625 is 526731.

It is not a de Polignac number, because 137625 - 2¹ = 137623 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 137595 and 137604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137625.

It is not an unprimeable number, because it can be changed into a prime (137623) 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, 192 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (14352).

137625 is a Friedman number, since it can be written as (53*7)^2-16, using all its digits and the basic arithmetic operations.

2¹³⁷⁶²⁵ is an apocalyptic number.

137625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137625 is a deficient number, since it is larger than the sum of its proper divisors (92007).

137625 is an equidigital number, since it uses as much as digits as its factorization.

137625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 137625 is about 370.9784360310. The cubic root of 137625 is about 51.6296416434.

The spelling of 137625 in words is "one hundred thirty-seven thousand, six hundred twenty-five".