153040800 has 432 divisors, whose sum is σ = 598461696. Its totient is φ = 33792000.

The previous prime is 153040793. The next prime is 153040813. The reversal of 153040800 is 8040351.

153040800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4936785 + ... + 4936815.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^153040800 is an apocalyptic number.

153040800 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 153040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

153040800 is an abundant number, since it is smaller than the sum of its proper divisors (445420896).

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

153040800 is a wasteful number, since it uses less digits than its factorization.

153040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153040800 is about 12370.9660091684. The cubic root of 153040800 is about 534.8956619541.

The spelling of 153040800 in words is "one hundred fifty-three million, forty thousand, eight hundred".