137945025 has 81 divisors (see below), whose sum is σ = 265716841. Its totient is φ = 71033760.

The previous prime is 137945023. The next prime is 137945051. The reversal of 137945025 is 520549731.

The square root of 137945025 is 11745.

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

137945025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1896129 + 136048896 = 1377^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 137945025 - 2¹ = 137945023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137945023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4756711 + ... + 4756739.

Almost surely, 2^137945025 is an apocalyptic number.

137945025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137945025 is the 11745-th square number.

137945025 is the 5873-rd centered octagonal number.

It is an amenable number.

137945025 is a deficient number, since it is larger than the sum of its proper divisors (127771816).

137945025 is an frugal number, since it uses more digits than its factorization.

137945025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 137945025 is about 516.6962949826.

Multiplying 137945025 by its sum of digits (36), we get a square (4966020900 = 70470²).

The spelling of 137945025 in words is "one hundred thirty-seven million, nine hundred forty-five thousand, twenty-five".