137900075482400 has 576 divisors, whose sum is σ = 451208440811520. Its totient is φ = 39853248307200.

The previous prime is 137900075482387. The next prime is 137900075482417. The reversal of 137900075482400 is 4284570009731.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 53755364 + ... + 56262236.

It is an arithmetic number, because the mean of its divisors is an integer number (783347987520).

Almost surely, 2^{137900075482400} is an apocalyptic number.

137900075482400 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 137900075482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225604220405760).

137900075482400 is an abundant number, since it is smaller than the sum of its proper divisors (313308365329120).

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

137900075482400 is a wasteful number, since it uses less digits than its factorization.

137900075482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506977 (or 2506964 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 137900075482400 in words is "one hundred thirty-seven trillion, nine hundred billion, seventy-five million, four hundred eighty-two thousand, four hundred".