137414783025 has 81 divisors (see below), whose sum is σ = 266654480547. Its totient is φ = 67614768000.

The previous prime is 137414782957. The next prime is 137414783039. The reversal of 137414783025 is 520387414731.

The square root of 137414783025 is 370695.

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

137414783025 is a `hidden beast` number, since 137 + 41 + 478 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 129679932321 + 7734850704 = 360111^2 + 87948^2 .

It is not a de Polignac number, because 137414783025 - 2³³ = 128824848433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 72284575 + ... + 72286475.

Almost surely, 2^137414783025 is an apocalyptic number.

137414783025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137414783025 is the 370695-th square number.

137414783025 is the 185348-th centered octagonal number.

It is an amenable number.

137414783025 is a deficient number, since it is larger than the sum of its proper divisors (129239697522).

137414783025 is an equidigital number, since it uses as much as digits as its factorization.

137414783025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 137414783025 in words is "one hundred thirty-seven billion, four hundred fourteen million, seven hundred eighty-three thousand, twenty-five".