153132800 has 108 divisors (see below), whose sum is σ = 385506576. Its totient is φ = 60211200.

The previous prime is 153132779. The next prime is 153132803. The reversal of 153132800 is 8231351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153132803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454232 + ... + 454568.

Almost surely, 2^153132800 is an apocalyptic number.

153132800 is a gapful number since it is divisible by the number (10) 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 153132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192753288).

153132800 is an abundant number, since it is smaller than the sum of its proper divisors (232373776).

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

153132800 is an equidigital number, since it uses as much as digits as its factorization.

153132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 153132800 is about 12374.6838343450. The cubic root of 153132800 is about 535.0028241036.

The spelling of 153132800 in words is "one hundred fifty-three million, one hundred thirty-two thousand, eight hundred".