138596927040 has 672 divisors, whose sum is σ = 577641110400. Its totient is φ = 31011102720.

The previous prime is 138596927023. The next prime is 138596927057. The reversal of 138596927040 is 40729695831.

138596927040 is a `hidden beast` number, since 1 + 3 + 8 + 596 + 9 + 2 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (138596927023) and next prime (138596927057).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16057446 + ... + 16066074.

It is a 1-persistent number, because it is pandigital, but 2⋅138596927040 = 277193854080 is not.

Almost surely, 2^138596927040 is an apocalyptic number.

138596927040 is a gapful number since it is divisible by the number (10) 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 138596927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288820555200).

138596927040 is an abundant number, since it is smaller than the sum of its proper divisors (439044183360).

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

138596927040 is a wasteful number, since it uses less digits than its factorization.

138596927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 138596927040 in words is "one hundred thirty-eight billion, five hundred ninety-six million, nine hundred twenty-seven thousand, forty".