137765025 has 36 divisors (see below), whose sum is σ = 261274572. Its totient is φ = 69150720.

The previous prime is 137765021. The next prime is 137765039. The reversal of 137765025 is 520567731.

It can be written as a sum of positive squares in 6 ways, for example, as 31329 + 137733696 = 177^2 + 11736^2 .

It is not a de Polignac number, because 137765025 - 2² = 137765021 is a prime.

It is a super-2 number, since 2×137765025² = 37958404226501250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137765021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14184 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (7257627).

Almost surely, 2^137765025 is an apocalyptic number.

137765025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137765025 is a deficient number, since it is larger than the sum of its proper divisors (123509547).

137765025 is a wasteful number, since it uses less digits than its factorization.

137765025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36050 (or 36042 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 137765025 is about 11737.3346633723. The cubic root of 137765025 is about 516.4714570670.

The spelling of 137765025 in words is "one hundred thirty-seven million, seven hundred sixty-five thousand, twenty-five".