137162941344 has 576 divisors, whose sum is σ = 490708108800. Its totient is φ = 35719833600.

The previous prime is 137162941339. The next prime is 137162941367. The reversal of 137162941344 is 443149261731.

It is a happy number.

137162941344 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 629 + 4 + 13 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137162941344.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46165779 + ... + 46168749.

It is an arithmetic number, because the mean of its divisors is an integer number (851923800).

Almost surely, 2^137162941344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137162941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245354054400).

137162941344 is an abundant number, since it is smaller than the sum of its proper divisors (353545167456).

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

137162941344 is a wasteful number, since it uses less digits than its factorization.

137162941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3078 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 137162941344 in words is "one hundred thirty-seven billion, one hundred sixty-two million, nine hundred forty-one thousand, three hundred forty-four".