137725 has 12 divisors (see below), whose sum is σ = 195424. Its totient is φ = 94320.

The previous prime is 137723. The next prime is 137737. The reversal of 137725 is 527731.

It is not a de Polignac number, because 137725 - 2¹ = 137723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

137725 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 137725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 568.

2¹³⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

137725 is a deficient number, since it is larger than the sum of its proper divisors (57699).

137725 is an equidigital number, since it uses as much as digits as its factorization.

137725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its digits is 1470, while the sum is 25.

The square root of 137725 is about 371.1131902803. The cubic root of 137725 is about 51.6421435246.

The spelling of 137725 in words is "one hundred thirty-seven thousand, seven hundred twenty-five".