137117376 has 336 divisors, whose sum is σ = 484997760. Its totient is φ = 36495360.

The previous prime is 137117369. The next prime is 137117381. The reversal of 137117376 is 673711731.

It is a super-2 number, since 2×137117376² = 37602349602250752, which contains 22 as substring.

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 137117376.

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 47 ways as a sum of consecutive naturals, for example, 2046495 + ... + 2046561.

Almost surely, 2^137117376 is an apocalyptic number.

137117376 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 137117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

137117376 is an abundant number, since it is smaller than the sum of its proper divisors (347880384).

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

137117376 is a wasteful number, since it uses less digits than its factorization.

137117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

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

The square root of 137117376 is about 11709.7128914419. The cubic root of 137117376 is about 515.6608552036.

The spelling of 137117376 in words is "one hundred thirty-seven million, one hundred seventeen thousand, three hundred seventy-six".