138657456 has 180 divisors, whose sum is σ = 462911592. Its totient is φ = 38610432.

The previous prime is 138657443. The next prime is 138657469. The reversal of 138657456 is 654756831.

138657456 is a `hidden beast` number, since 138 + 65 + 7 + 456 = 666.

138657456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138657443) and next prime (138657469).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 303180 + ... + 303636.

Almost surely, 2^138657456 is an apocalyptic number.

138657456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231455796).

138657456 is an abundant number, since it is smaller than the sum of its proper divisors (324254136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138657456 is a wasteful number, since it uses less digits than its factorization.

138657456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 138657456 is about 11775.2900601217. The cubic root of 138657456 is about 517.5842780895.

It can be divided in two parts, 13865 and 7456, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 138657456 in words is "one hundred thirty-eight million, six hundred fifty-seven thousand, four hundred fifty-six".