137189376 has 120 divisors (see below), whose sum is σ = 410269860. Its totient is φ = 45674496.

The previous prime is 137189323. The next prime is 137189383. The reversal of 137189376 is 673981731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165475 + ... + 166301.

Almost surely, 2^137189376 is an apocalyptic number.

137189376 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 137189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205134930).

137189376 is an abundant number, since it is smaller than the sum of its proper divisors (273080484).

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

137189376 is an frugal number, since it uses more digits than its factorization.

137189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 832 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 137189376 is about 11712.7868588137. The cubic root of 137189376 is about 515.7510968297.

The spelling of 137189376 in words is "one hundred thirty-seven million, one hundred eighty-nine thousand, three hundred seventy-six".