137816879376 has 160 divisors (see below), whose sum is σ = 391134965760. Its totient is φ = 41468889600.

The previous prime is 137816879339. The next prime is 137816879461. The reversal of 137816879376 is 673978618731.

137816879376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54278715 + ... + 54281253.

It is an arithmetic number, because the mean of its divisors is an integer number (2444593536).

Almost surely, 2^137816879376 is an apocalyptic number.

137816879376 is a gapful number since it is divisible by the number (16) 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 137816879376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195567482880).

137816879376 is an abundant number, since it is smaller than the sum of its proper divisors (253318086384).

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

137816879376 is a wasteful number, since it uses less digits than its factorization.

137816879376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3239 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 66.

The spelling of 137816879376 in words is "one hundred thirty-seven billion, eight hundred sixteen million, eight hundred seventy-nine thousand, three hundred seventy-six".