137337084 has 72 divisors (see below), whose sum is σ = 369205200. Its totient is φ = 42895872.

The previous prime is 137337077. The next prime is 137337103. The reversal of 137337084 is 480733731.

It is a super-2 number, since 2×137337084² = 37722949283246112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213267 + ... + 213909.

It is an arithmetic number, because the mean of its divisors is an integer number (5127850).

Almost surely, 2^137337084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137337084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184602600).

137337084 is an abundant number, since it is smaller than the sum of its proper divisors (231868116).

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

137337084 is a wasteful number, since it uses less digits than its factorization.

137337084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137337084 is about 11719.0905790509. The cubic root of 137337084 is about 515.9361287447.

The spelling of 137337084 in words is "one hundred thirty-seven million, three hundred thirty-seven thousand, eighty-four".