139513094400 has 432 divisors, whose sum is σ = 486951833088. Its totient is φ = 35119104000.

The previous prime is 139513094363. The next prime is 139513094473. The reversal of 139513094400 is 4490315931.

It is a happy number.

It is a super-2 number, since 2×139513094400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24400342 + ... + 24406058.

Almost surely, 2^139513094400 is an apocalyptic number.

139513094400 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 139513094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243475916544).

139513094400 is an abundant number, since it is smaller than the sum of its proper divisors (347438738688).

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

139513094400 is a wasteful number, since it uses less digits than its factorization.

139513094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 139513094400 in words is "one hundred thirty-nine billion, five hundred thirteen million, ninety-four thousand, four hundred".