139764838400 has 312 divisors, whose sum is σ = 380857123584. Its totient is φ = 50451251200.

The previous prime is 139764838393. The next prime is 139764838439. The reversal of 139764838400 is 4838467931.

It is a super-2 number, since 2×139764838400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188108429 + ... + 188109171.

Almost surely, 2^139764838400 is an apocalyptic number.

139764838400 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 139764838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190428561792).

139764838400 is an abundant number, since it is smaller than the sum of its proper divisors (241092285184).

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

139764838400 is a wasteful number, since it uses less digits than its factorization.

139764838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 139764838400 in words is "one hundred thirty-nine billion, seven hundred sixty-four million, eight hundred thirty-eight thousand, four hundred".