138787614800 has 240 divisors, whose sum is σ = 345194275200. Its totient is φ = 53602560000.

The previous prime is 138787614793. The next prime is 138787614803. The reversal of 138787614800 is 8416787831.

138787614800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138787614803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490415459 + ... + 490415741.

It is an arithmetic number, because the mean of its divisors is an integer number (1438309480).

Almost surely, 2^138787614800 is an apocalyptic number.

138787614800 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 138787614800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172597137600).

138787614800 is an abundant number, since it is smaller than the sum of its proper divisors (206406660400).

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

138787614800 is a wasteful number, since it uses less digits than its factorization.

138787614800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 138787614800 in words is "one hundred thirty-eight billion, seven hundred eighty-seven million, six hundred fourteen thousand, eight hundred".