137634728 has 96 divisors (see below), whose sum is σ = 333655200. Its totient is φ = 52617600.

The previous prime is 137634719. The next prime is 137634733. The reversal of 137634728 is 827436731.

137634728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 254138 + ... + 254678.

It is an arithmetic number, because the mean of its divisors is an integer number (3475575).

Almost surely, 2^137634728 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 137634728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166827600).

137634728 is an abundant number, since it is smaller than the sum of its proper divisors (196020472).

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

137634728 is a wasteful number, since it uses less digits than its factorization.

137634728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 137634728 is about 11731.7828142188. The cubic root of 137634728 is about 516.3085809230.

The spelling of 137634728 in words is "one hundred thirty-seven million, six hundred thirty-four thousand, seven hundred twenty-eight".