137880165456 has 480 divisors, whose sum is σ = 463290347520. Its totient is φ = 37786828800.

The previous prime is 137880165419. The next prime is 137880165487. The reversal of 137880165456 is 654561088731.

It is a happy number.

137880165456 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 80 + 16 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299089066 + ... + 299089526.

It is an arithmetic number, because the mean of its divisors is an integer number (965188224).

Almost surely, 2^137880165456 is an apocalyptic number.

137880165456 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 137880165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231645173760).

137880165456 is an abundant number, since it is smaller than the sum of its proper divisors (325410182064).

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

137880165456 is a wasteful number, since it uses less digits than its factorization.

137880165456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 137880165456 in words is "one hundred thirty-seven billion, eight hundred eighty million, one hundred sixty-five thousand, four hundred fifty-six".