138417482025 has 81 divisors (see below), whose sum is σ = 263543174661. Its totient is φ = 69432526080.

The previous prime is 138417482017. The next prime is 138417482033. The reversal of 138417482025 is 520284714831.

The square root of 138417482025 is 372045.

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

138417482025 is a `hidden beast` number, since 1 + 384 + 174 + 82 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (138417482017) and next prime (138417482033).

It can be written as a sum of positive squares in 4 ways, for example, as 3237723801 + 135179758224 = 56901^2 + 367668^2 .

It is not a de Polignac number, because 138417482025 - 2³ = 138417482017 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, 94870746 + ... + 94872204.

Almost surely, 2^138417482025 is an apocalyptic number.

138417482025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138417482025 is the 372045-th square number.

138417482025 is the 186023-rd centered octagonal number.

It is an amenable number.

138417482025 is a deficient number, since it is larger than the sum of its proper divisors (125125692636).

138417482025 is an equidigital number, since it uses as much as digits as its factorization.

138417482025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 138417482025 in words is "one hundred thirty-eight billion, four hundred seventeen million, four hundred eighty-two thousand, twenty-five".