137874828 has 144 divisors (see below), whose sum is σ = 427127904. Its totient is φ = 34191360.

The previous prime is 137874827. The next prime is 137874833. The reversal of 137874828 is 828478731.

It is a happy number.

137874828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137874827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129418 + ... + 130478.

It is an arithmetic number, because the mean of its divisors is an integer number (2966166).

Almost surely, 2^137874828 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 137874828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213563952).

137874828 is an abundant number, since it is smaller than the sum of its proper divisors (289253076).

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

137874828 is a wasteful number, since it uses less digits than its factorization.

137874828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 137874828 is about 11742.0112416911. The cubic root of 137874828 is about 516.6086352211.

The spelling of 137874828 in words is "one hundred thirty-seven million, eight hundred seventy-four thousand, eight hundred twenty-eight".