137178272480688 has 40 divisors (see below), whose sum is σ = 393752448788400. Its totient is φ = 45726090826752.

The previous prime is 137178272480677. The next prime is 137178272480779. The reversal of 137178272480688 is 886084272871731.

137178272480688 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 7 + 82 + 7 + 2 + 480 + 68 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158771148273 + ... + 158771149136.

It is an arithmetic number, because the mean of its divisors is an integer number (9843811219710).

Almost surely, 2^{137178272480688} is an apocalyptic number.

137178272480688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137178272480688 is an abundant number, since it is smaller than the sum of its proper divisors (256574176307712).

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

137178272480688 is a wasteful number, since it uses less digits than its factorization.

137178272480688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317542297426 (or 317542297414 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 137178272480688 in words is "one hundred thirty-seven trillion, one hundred seventy-eight billion, two hundred seventy-two million, four hundred eighty thousand, six hundred eighty-eight".