138897158400 has 2592 divisors, whose sum is σ = 698463906560. Its totient is φ = 26276659200.

The previous prime is 138897158399. The next prime is 138897158419. The reversal of 138897158400 is 4851798831.

138897158400 is a `hidden beast` number, since 1 + 3 + 8 + 89 + 7 + 158 + 400 = 666.

It is a super-2 number, since 2×138897158400² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1902700764 + ... + 1902700836.

Almost surely, 2^138897158400 is an apocalyptic number.

138897158400 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 138897158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349231953280).

138897158400 is an abundant number, since it is smaller than the sum of its proper divisors (559566748160).

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

138897158400 is a wasteful number, since it uses less digits than its factorization.

138897158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 138897158400 in words is "one hundred thirty-eight billion, eight hundred ninety-seven million, one hundred fifty-eight thousand, four hundred".