137833828 has 48 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 58574880.

The previous prime is 137833811. The next prime is 137833837. The reversal of 137833828 is 828338731.

It is a super-2 number, since 2×137833828² = 37996328282267168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65001 + ... + 67087.

It is an arithmetic number, because the mean of its divisors is an integer number (5846400).

Almost surely, 2^137833828 is an apocalyptic number.

It is an amenable number.

137833828 is an abundant number, since it is smaller than the sum of its proper divisors (142793372).

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

137833828 is a wasteful number, since it uses less digits than its factorization.

137833828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2198 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 137833828 is about 11740.2652440224. The cubic root of 137833828 is about 516.5574219716.

The spelling of 137833828 in words is "one hundred thirty-seven million, eight hundred thirty-three thousand, eight hundred twenty-eight".