153166132800 has 252 divisors, whose sum is σ = 544800248980. Its totient is φ = 40813424640.

The previous prime is 153166132793. The next prime is 153166132813. The reversal of 153166132800 is 8231661351.

153166132800 is a `hidden beast` number, since 1 + 5 + 3 + 16 + 613 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 428986944 + 152737145856 = 20712^2 + 390816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 24030414 + ... + 24036786.

Almost surely, 2^153166132800 is an apocalyptic number.

153166132800 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 153166132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272400124490).

153166132800 is an abundant number, since it is smaller than the sum of its proper divisors (391634116180).

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

153166132800 is a wasteful number, since it uses less digits than its factorization.

153166132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 153166132800 in words is "one hundred fifty-three billion, one hundred sixty-six million, one hundred thirty-two thousand, eight hundred".