153132082800 has 120 divisors (see below), whose sum is σ = 496045059120. Its totient is φ = 40376371200.

The previous prime is 153132082783. The next prime is 153132082823. The reversal of 153132082800 is 8280231351.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610111 + ... + 823710.

It is an arithmetic number, because the mean of its divisors is an integer number (4133708826).

Almost surely, 2^153132082800 is an apocalyptic number.

153132082800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153132082800 is an abundant number, since it is smaller than the sum of its proper divisors (342912976320).

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

153132082800 is a wasteful number, since it uses less digits than its factorization.

153132082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433931 (or 1433920 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 153132082800 in words is "one hundred fifty-three billion, one hundred thirty-two million, eighty-two thousand, eight hundred".