138837977644800 has 1296 divisors, whose sum is σ = 538195526615040. Its totient is φ = 31426127953920.

The previous prime is 138837977644781. The next prime is 138837977644831. The reversal of 138837977644800 is 8446779738831.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127725829857 + ... + 127725830943.

Almost surely, 2^{138837977644800} is an apocalyptic number.

138837977644800 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 138837977644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269097763307520).

138837977644800 is an abundant number, since it is smaller than the sum of its proper divisors (399357548970240).

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

138837977644800 is a wasteful number, since it uses less digits than its factorization.

138837977644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 75.

The spelling of 138837977644800 in words is "one hundred thirty-eight trillion, eight hundred thirty-seven billion, nine hundred seventy-seven million, six hundred forty-four thousand, eight hundred".