153938128 has 40 divisors (see below), whose sum is σ = 320550912. Its totient is φ = 71351808.

The previous prime is 153938107. The next prime is 153938131. The reversal of 153938128 is 821839351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14001 + ... + 22447.

Almost surely, 2^153938128 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 153938128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456).

153938128 is an abundant number, since it is smaller than the sum of its proper divisors (166612784).

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

153938128 is a wasteful number, since it uses less digits than its factorization.

153938128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8533 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 153938128 is about 12407.1805016289. The cubic root of 153938128 is about 535.9390477953.

The spelling of 153938128 in words is "one hundred fifty-three million, nine hundred thirty-eight thousand, one hundred twenty-eight".