138421353600 has 864 divisors, whose sum is σ = 541440010800. Its totient is φ = 34868828160.

The previous prime is 138421353599. The next prime is 138421353613. The reversal of 138421353600 is 6353124831.

138421353600 is a `hidden beast` number, since 1 + 3 + 8 + 42 + 1 + 3 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×138421353600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 398908627 + ... + 398908973.

Almost surely, 2^138421353600 is an apocalyptic number.

138421353600 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 138421353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270720005400).

138421353600 is an abundant number, since it is smaller than the sum of its proper divisors (403018657200).

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

138421353600 is an frugal number, since it uses more digits than its factorization.

138421353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 138421353600 in words is "one hundred thirty-eight billion, four hundred twenty-one million, three hundred fifty-three thousand, six hundred".