153442800 has 180 divisors, whose sum is σ = 608658960. Its totient is φ = 35066880.

The previous prime is 153442771. The next prime is 153442831. The reversal of 153442800 is 8244351.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22156 + ... + 28244.

Almost surely, 2^153442800 is an apocalyptic number.

153442800 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 153442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304329480).

153442800 is an abundant number, since it is smaller than the sum of its proper divisors (455216160).

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

153442800 is a wasteful number, since it uses less digits than its factorization.

153442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 153442800 is about 12387.2030741407. The cubic root of 153442800 is about 535.3635982938.

The spelling of 153442800 in words is "one hundred fifty-three million, four hundred forty-two thousand, eight hundred".