137789993376000 has 3456 divisors, whose sum is σ = 637530457374720. Its totient is φ = 28674736128000.

The previous prime is 137789993375963. The next prime is 137789993376023. The reversal of 137789993376000 is 673399987731.

137789993376000 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 8 + 9 + 9 + 9 + 3 + 3 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 137789993376000.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54184030729 + ... + 54184033271.

Almost surely, 2^{137789993376000} is an apocalyptic number.

137789993376000 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 137789993376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318765228687360).

137789993376000 is an abundant number, since it is smaller than the sum of its proper divisors (499740463998720).

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

137789993376000 is a wasteful number, since it uses less digits than its factorization.

137789993376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 72.

The spelling of 137789993376000 in words is "one hundred thirty-seven trillion, seven hundred eighty-nine billion, nine hundred ninety-three million, three hundred seventy-six thousand".