137925 has 18 divisors (see below), whose sum is σ = 247442. Its totient is φ = 73440.

The previous prime is 137911. The next prime is 137927. The reversal of 137925 is 529731.

137925 = 26² + 27² + ... + 75².

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 136161 = 42^2 + 369^2 .

It is not a de Polignac number, because 137925 - 2⁴ = 137909 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137925.

It is not an unprimeable number, because it can be changed into a prime (137927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82 + ... + 531.

2¹³⁷⁹²⁵ is an apocalyptic number.

137925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137925 is a deficient number, since it is larger than the sum of its proper divisors (109517).

137925 is a wasteful number, since it uses less digits than its factorization.

137925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 137925 is about 371.3825520942. The cubic root of 137925 is about 51.6671291437.

The spelling of 137925 in words is "one hundred thirty-seven thousand, nine hundred twenty-five".