137007025 has 9 divisors (see below), whose sum is σ = 169961313. Its totient is φ = 109558800.

The previous prime is 137007023. The next prime is 137007047. The reversal of 137007025 is 520700731.

The square root of 137007025 is 11705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 136983616 = 153^2 + 11704^2 .

It is not a de Polignac number, because 137007025 - 2¹ = 137007023 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137007023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57355 + ... + 59695.

Almost surely, 2^137007025 is an apocalyptic number.

137007025 is the 11705-th square number.

137007025 is the 5853-rd centered octagonal number.

It is an amenable number.

137007025 is a deficient number, since it is larger than the sum of its proper divisors (32954288).

137007025 is an frugal number, since it uses more digits than its factorization.

137007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 2346 counting only the distinct ones).

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

The cubic root of 137007025 is about 515.5224847925.

Multiplying 137007025 by its sum of digits (25), we get a square (3425175625 = 58525²).

137007025 divided by its sum of digits (25) gives a square (5480281 = 2341²).

Adding to 137007025 its reverse (520700731), we get a palindrome (657707756).

The spelling of 137007025 in words is "one hundred thirty-seven million, seven thousand, twenty-five".