138884761600 has 576 divisors, whose sum is σ = 393094840320. Its totient is φ = 48306585600.

The previous prime is 138884761597. The next prime is 138884761607. The reversal of 138884761600 is 6167488831.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (138884761607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093580737 + ... + 1093580863.

It is an arithmetic number, because the mean of its divisors is an integer number (682456320).

Almost surely, 2^138884761600 is an apocalyptic number.

138884761600 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 138884761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

138884761600 is an abundant number, since it is smaller than the sum of its proper divisors (254210078720).

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

138884761600 is a wasteful number, since it uses less digits than its factorization.

138884761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 138884761600 in words is "one hundred thirty-eight billion, eight hundred eighty-four million, seven hundred sixty-one thousand, six hundred".