153838896 has 160 divisors (see below), whose sum is σ = 443304960. Its totient is φ = 45785088.

The previous prime is 153838891. The next prime is 153838931. The reversal of 153838896 is 698838351.

It is not an unprimeable number, because it can be changed into a prime (153838891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585920 + ... + 1586016.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^153838896 is an apocalyptic number.

153838896 is a gapful number since it is divisible by the number (16) 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 153838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

153838896 is an abundant number, since it is smaller than the sum of its proper divisors (289466064).

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

153838896 is a wasteful number, since it uses less digits than its factorization.

153838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 153838896 is about 12403.1808823382. The cubic root of 153838896 is about 535.8238635632.

The spelling of 153838896 in words is "one hundred fifty-three million, eight hundred thirty-eight thousand, eight hundred ninety-six".