137980241715456 has 1728 divisors, whose sum is σ = 504077149255680. Its totient is φ = 35426191933440.

The previous prime is 137980241715409. The next prime is 137980241715461. The reversal of 137980241715456 is 654517142089731.

137980241715456 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 8 + 0 + 2 + 4 + 171 + 5 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 137980241715393 and 137980241715402.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64446632146 + ... + 64446634286.

It is a 3-persistent number, because k⋅137980241715456 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{137980241715456} is an apocalyptic number.

137980241715456 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 137980241715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252038574627840).

137980241715456 is an abundant number, since it is smaller than the sum of its proper divisors (366096907540224).

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

137980241715456 is a wasteful number, since it uses less digits than its factorization.

137980241715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 137980241715456 in words is "one hundred thirty-seven trillion, nine hundred eighty billion, two hundred forty-one million, seven hundred fifteen thousand, four hundred fifty-six".