138687344400 has 180 divisors, whose sum is σ = 488321325296. Its totient is φ = 33621139200.

The previous prime is 138687344371. The next prime is 138687344401. The reversal of 138687344400 is 4443786831.

It is a happy number.

It is a super-2 number, since 2×138687344400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138687344400.

It is not an unprimeable number, because it can be changed into a prime (138687344401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332374 + ... + 622773.

Almost surely, 2^138687344400 is an apocalyptic number.

138687344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138687344400 is an abundant number, since it is smaller than the sum of its proper divisors (349633980896).

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

138687344400 is a wasteful number, since it uses less digits than its factorization.

138687344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955190 (or 955168 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 138687344400 in words is "one hundred thirty-eight billion, six hundred eighty-seven million, three hundred forty-four thousand, four hundred".