153312768 has 240 divisors, whose sum is σ = 521320800. Its totient is φ = 43352064.

The previous prime is 153312713. The next prime is 153312787. The reversal of 153312768 is 867213351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1580496 + ... + 1580592.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^153312768 is an apocalyptic number.

153312768 is a gapful number since it is divisible by the number (18) 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 153312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260660400).

153312768 is an abundant number, since it is smaller than the sum of its proper divisors (368008032).

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

153312768 is an frugal number, since it uses more digits than its factorization.

153312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 153312768 is about 12381.9533192465. The cubic root of 153312768 is about 535.2123278680.

The spelling of 153312768 in words is "one hundred fifty-three million, three hundred twelve thousand, seven hundred sixty-eight".