137776313416 has 64 divisors (see below), whose sum is σ = 302234803200. Its totient is φ = 57648241728.

The previous prime is 137776313329. The next prime is 137776313453. The reversal of 137776313416 is 614313677731.

It is a self number, because there is not a number n which added to its sum of digits gives 137776313416.

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 15 ways as a sum of consecutive naturals, for example, 6015795 + ... + 6038653.

It is an arithmetic number, because the mean of its divisors is an integer number (4722418800).

Almost surely, 2^137776313416 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 137776313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151117401600).

137776313416 is an abundant number, since it is smaller than the sum of its proper divisors (164458489784).

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

137776313416 is a wasteful number, since it uses less digits than its factorization.

137776313416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25418 (or 25414 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 49.

The spelling of 137776313416 in words is "one hundred thirty-seven billion, seven hundred seventy-six million, three hundred thirteen thousand, four hundred sixteen".