138615745595904 has 2400 divisors, whose sum is σ = 472613032222848. Its totient is φ = 40321533542400.

The previous prime is 138615745595903. The next prime is 138615745595911. The reversal of 138615745595904 is 409595547516831.

138615745595904 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 15 + 7 + 4 + 559 + 59 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138615745595903) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2068891725279 + ... + 2068891725345.

Almost surely, 2^{138615745595904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138615745595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236306516111424).

138615745595904 is an abundant number, since it is smaller than the sum of its proper divisors (333997286626944).

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

138615745595904 is an equidigital number, since it uses as much as digits as its factorization.

138615745595904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 138615745595904 in words is "one hundred thirty-eight trillion, six hundred fifteen billion, seven hundred forty-five million, five hundred ninety-five thousand, nine hundred four".