139838540524800 has 864 divisors, whose sum is σ = 509198071737600. Its totient is φ = 33586701926400.

The previous prime is 139838540524691. The next prime is 139838540524847. The reversal of 139838540524800 is 8425045838931.

It is a super-2 number, since 2×139838540524800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718954526 + ... + 1719035874.

Almost surely, 2^{139838540524800} is an apocalyptic number.

139838540524800 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 139838540524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254599035868800).

139838540524800 is an abundant number, since it is smaller than the sum of its proper divisors (369359531212800).

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

139838540524800 is a wasteful number, since it uses less digits than its factorization.

139838540524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81559 (or 81540 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 139838540524800 in words is "one hundred thirty-nine trillion, eight hundred thirty-eight billion, five hundred forty million, five hundred twenty-four thousand, eight hundred".