137117400 has 96 divisors (see below), whose sum is σ = 485802240. Its totient is φ = 31340160.

The previous prime is 137117381. The next prime is 137117419. The reversal of 137117400 is 4711731.

It is an interprime number because it is at equal distance from previous prime (137117381) and next prime (137117419).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12124 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (5060440).

Almost surely, 2^137117400 is an apocalyptic number.

137117400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137117400 is an abundant number, since it is smaller than the sum of its proper divisors (348684840).

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

137117400 is a wasteful number, since it uses less digits than its factorization.

137117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32673 (or 32664 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 137117400 is about 11709.7139162321. The cubic root of 137117400 is about 515.6608852894.

The spelling of 137117400 in words is "one hundred thirty-seven million, one hundred seventeen thousand, four hundred".