137549218968 has 96 divisors (see below), whose sum is σ = 426207319200. Its totient is φ = 39257339904.

The previous prime is 137549218951. The next prime is 137549218979. The reversal of 137549218968 is 869812945731.

137549218968 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 492 + 1 + 89 + 68 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321330 + ... + 615102.

It is an arithmetic number, because the mean of its divisors is an integer number (4439659575).

Almost surely, 2^137549218968 is an apocalyptic number.

137549218968 is a gapful number since it is divisible by the number (18) 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 137549218968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213103659600).

137549218968 is an abundant number, since it is smaller than the sum of its proper divisors (288658100232).

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

137549218968 is a wasteful number, since it uses less digits than its factorization.

137549218968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294721 (or 294714 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 137549218968 in words is "one hundred thirty-seven billion, five hundred forty-nine million, two hundred eighteen thousand, nine hundred sixty-eight".