137704084 has 48 divisors (see below), whose sum is σ = 287620480. Its totient is φ = 56453760.

The previous prime is 137704079. The next prime is 137704129. The reversal of 137704084 is 480407731.

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, 62107 + ... + 64285.

Almost surely, 2^137704084 is an apocalyptic number.

137704084 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 137704084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143810240).

137704084 is an abundant number, since it is smaller than the sum of its proper divisors (149916396).

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

137704084 is a wasteful number, since it uses less digits than its factorization.

137704084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 137704084 is about 11734.7383439087. The cubic root of 137704084 is about 516.3952913176.

The spelling of 137704084 in words is "one hundred thirty-seven million, seven hundred four thousand, eighty-four".