137025 has 48 divisors (see below), whose sum is σ = 297600. Its totient is φ = 60480.

The previous prime is 136999. The next prime is 137029. The reversal of 137025 is 520731.

It is not a de Polignac number, because 137025 - 2⁵ = 136993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136989 and 137007.

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 137025.

It is not an unprimeable number, because it can be changed into a prime (137029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4711 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (6200).

2¹³⁷⁰²⁵ is an apocalyptic number.

137025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137025 is an abundant number, since it is smaller than the sum of its proper divisors (160575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137025 is a wasteful number, since it uses less digits than its factorization.

137025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 137025 is about 370.1688803776. The cubic root of 137025 is about 51.5545028920.

Adding to 137025 its reverse (520731), we get a palindrome (657756).

The spelling of 137025 in words is "one hundred thirty-seven thousand, twenty-five".