153013872 has 80 divisors (see below), whose sum is σ = 456613632. Its totient is φ = 43637760.

The previous prime is 153013843. The next prime is 153013879. The reversal of 153013872 is 278310351.

153013872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153013879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453 + ... + 17499.

Almost surely, 2^153013872 is an apocalyptic number.

153013872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153013872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228306816).

153013872 is an abundant number, since it is smaller than the sum of its proper divisors (303599760).

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

153013872 is a wasteful number, since it uses less digits than its factorization.

153013872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17086 (or 17080 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 153013872 is about 12369.8776065085. The cubic root of 153013872 is about 534.8642879343.

The spelling of 153013872 in words is "one hundred fifty-three million, thirteen thousand, eight hundred seventy-two".