137057828 has 48 divisors (see below), whose sum is σ = 264660480. Its totient is φ = 61885824.

The previous prime is 137057821. The next prime is 137057831. The reversal of 137057828 is 828750731.

It is not an unprimeable number, because it can be changed into a prime (137057821) by changing a digit.

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, 124850 + ... + 125942.

It is an arithmetic number, because the mean of its divisors is an integer number (5513760).

Almost surely, 2^137057828 is an apocalyptic number.

It is an amenable number.

137057828 is a deficient number, since it is larger than the sum of its proper divisors (127602652).

137057828 is a wasteful number, since it uses less digits than its factorization.

137057828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 137057828 is about 11707.1699398275. The cubic root of 137057828 is about 515.5861964947.

The spelling of 137057828 in words is "one hundred thirty-seven million, fifty-seven thousand, eight hundred twenty-eight".