138929043456 has 480 divisors, whose sum is σ = 477593756640. Its totient is φ = 39414988800.

The previous prime is 138929043431. The next prime is 138929043467. The reversal of 138929043456 is 654340929831.

138929043456 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 290 + 4 + 345 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210179766 + ... + 210180426.

It is an arithmetic number, because the mean of its divisors is an integer number (994986993).

Almost surely, 2^138929043456 is an apocalyptic number.

138929043456 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 138929043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238796878320).

138929043456 is an abundant number, since it is smaller than the sum of its proper divisors (338664713184).

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

138929043456 is an equidigital number, since it uses as much as digits as its factorization.

138929043456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 138929043456 in words is "one hundred thirty-eight billion, nine hundred twenty-nine million, forty-three thousand, four hundred fifty-six".