137113776 has 80 divisors (see below), whose sum is σ = 394974720. Its totient is φ = 45541440.

The previous prime is 137113763. The next prime is 137113777. The reversal of 137113776 is 677311731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137113776.

It is not an unprimeable number, because it can be changed into a prime (137113777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216981 + ... + 217611.

It is an arithmetic number, because the mean of its divisors is an integer number (4937184).

Almost surely, 2^137113776 is an apocalyptic number.

137113776 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 137113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197487360).

137113776 is an abundant number, since it is smaller than the sum of its proper divisors (257860944).

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

137113776 is a wasteful number, since it uses less digits than its factorization.

137113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 137113776 is about 11709.5591718903. The cubic root of 137113776 is about 515.6563422932.

The spelling of 137113776 in words is "one hundred thirty-seven million, one hundred thirteen thousand, seven hundred seventy-six".