153148800 has 384 divisors, whose sum is σ = 601032960. Its totient is φ = 33546240.

The previous prime is 153148799. The next prime is 153148811. The reversal of 153148800 is 8841351.

153148800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2889574 + ... + 2889626.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^153148800 is an apocalyptic number.

153148800 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 153148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

153148800 is an abundant number, since it is smaller than the sum of its proper divisors (447884160).

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

153148800 is a wasteful number, since it uses less digits than its factorization.

153148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 153148800 is about 12375.3302986223. The cubic root of 153148800 is about 535.0214566175.

The spelling of 153148800 in words is "one hundred fifty-three million, one hundred forty-eight thousand, eight hundred".