153080400 has 120 divisors (see below), whose sum is σ = 534992544. Its totient is φ = 37107200.

The previous prime is 153080399. The next prime is 153080407. The reversal of 153080400 is 4080351.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153080407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7402 + ... + 18998.

Almost surely, 2^153080400 is an apocalyptic number.

153080400 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 153080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267496272).

153080400 is an abundant number, since it is smaller than the sum of its proper divisors (381912144).

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

153080400 is a wasteful number, since it uses less digits than its factorization.

153080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11618 counting only the distinct ones).

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

The square root of 153080400 is about 12372.5664273828. The cubic root of 153080400 is about 534.9417935336.

The spelling of 153080400 in words is "one hundred fifty-three million, eighty thousand, four hundred".