137434584 has 64 divisors (see below), whose sum is σ = 394467840. Its totient is φ = 39087360.

The previous prime is 137434529. The next prime is 137434603. The reversal of 137434584 is 485434731.

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 15 ways as a sum of consecutive naturals, for example, 37389 + ... + 40899.

It is an arithmetic number, because the mean of its divisors is an integer number (6163560).

Almost surely, 2^137434584 is an apocalyptic number.

137434584 is a gapful number since it is divisible by the number (14) 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 137434584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197233920).

137434584 is an abundant number, since it is smaller than the sum of its proper divisors (257033256).

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

137434584 is a wasteful number, since it uses less digits than its factorization.

137434584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3756 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 137434584 is about 11723.2497201075. The cubic root of 137434584 is about 516.0581930643.

The spelling of 137434584 in words is "one hundred thirty-seven million, four hundred thirty-four thousand, five hundred eighty-four".