137563796540160 has 864 divisors, whose sum is σ = 507173446241280. Its totient is φ = 34363323187200.

The previous prime is 137563796540123. The next prime is 137563796540327. The reversal of 137563796540160 is 61045697365731.

137563796540160 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 6 + 3 + 79 + 6 + 540 + 16 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2479179937 + ... + 2479235423.

It is an arithmetic number, because the mean of its divisors is an integer number (587006303520).

Almost surely, 2^{137563796540160} is an apocalyptic number.

137563796540160 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 137563796540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253586723120640).

137563796540160 is an abundant number, since it is smaller than the sum of its proper divisors (369609649701120).

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

137563796540160 is a wasteful number, since it uses less digits than its factorization.

137563796540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55765 (or 55748 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 137563796540160 in words is "one hundred thirty-seven trillion, five hundred sixty-three billion, seven hundred ninety-six million, five hundred forty thousand, one hundred sixty".