137992999680 has 360 divisors, whose sum is σ = 495379089744. Its totient is φ = 36677836800.

The previous prime is 137992999667. The next prime is 137992999691. The reversal of 137992999680 is 86999299731.

137992999680 is a `hidden beast` number, since 1 + 379 + 9 + 2 + 99 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 137992999599 and 137992999608.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34316070 + ... + 34320090.

Almost surely, 2^137992999680 is an apocalyptic number.

137992999680 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 137992999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247689544872).

137992999680 is an abundant number, since it is smaller than the sum of its proper divisors (357386090064).

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

137992999680 is an equidigital number, since it uses as much as digits as its factorization.

137992999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 137992999680 in words is "one hundred thirty-seven billion, nine hundred ninety-two million, nine hundred ninety-nine thousand, six hundred eighty".