137382336 has 168 divisors, whose sum is σ = 484839264. Its totient is φ = 36218880.

The previous prime is 137382319. The next prime is 137382341. The reversal of 137382336 is 633283731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 137382336.

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, 51106 + ... + 53726.

It is an arithmetic number, because the mean of its divisors is an integer number (2885948).

Almost surely, 2^137382336 is an apocalyptic number.

137382336 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 137382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242419632).

137382336 is an abundant number, since it is smaller than the sum of its proper divisors (347456928).

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

137382336 is a wasteful number, since it uses less digits than its factorization.

137382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 137382336 is about 11721.0211159267. The cubic root of 137382336 is about 515.9927887941.

The spelling of 137382336 in words is "one hundred thirty-seven million, three hundred eighty-two thousand, three hundred thirty-six".