137000336 has 80 divisors (see below), whose sum is σ = 310962240. Its totient is φ = 57807360.

The previous prime is 137000329. The next prime is 137000363. The reversal of 137000336 is 633000731.

It is a super-2 number, since 2×137000336² = 37538184128225792, which contains 22 as substring.

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, 176846 + ... + 177618.

It is an arithmetic number, because the mean of its divisors is an integer number (3887028).

Almost surely, 2^137000336 is an apocalyptic number.

137000336 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 137000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155481120).

137000336 is an abundant number, since it is smaller than the sum of its proper divisors (173961904).

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

137000336 is a wasteful number, since it uses less digits than its factorization.

137000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 137000336 is about 11704.7142639195. The cubic root of 137000336 is about 515.5140949891.

The spelling of 137000336 in words is "one hundred thirty-seven million, three hundred thirty-six", and thus it is an aban number.