137980480792896 has 672 divisors, whose sum is σ = 463827715553280. Its totient is φ = 38406348288000.

The previous prime is 137980480792853. The next prime is 137980480792897. The reversal of 137980480792896 is 698297084089731.

137980480792896 is a `hidden beast` number, since 1 + 37 + 9 + 80 + 480 + 7 + 9 + 28 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×137980480792896² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137980480792897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9341301991 + ... + 9341316761.

Almost surely, 2^{137980480792896} is an apocalyptic number.

137980480792896 is a gapful number since it is divisible by the number (16) 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 137980480792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231913857776640).

137980480792896 is an abundant number, since it is smaller than the sum of its proper divisors (325847234760384).

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

137980480792896 is a wasteful number, since it uses less digits than its factorization.

137980480792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 137980480792896 in words is "one hundred thirty-seven trillion, nine hundred eighty billion, four hundred eighty million, seven hundred ninety-two thousand, eight hundred ninety-six".