153872755200 has 360 divisors, whose sum is σ = 560026209600. Its totient is φ = 40335482880.

The previous prime is 153872755171. The next prime is 153872755213. The reversal of 153872755200 is 2557278351.

153872755200 is a `hidden beast` number, since 1 + 53 + 8 + 7 + 2 + 75 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6785481 + ... + 6808119.

It is an arithmetic number, because the mean of its divisors is an integer number (1555628360).

Almost surely, 2^153872755200 is an apocalyptic number.

153872755200 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 153872755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280013104800).

153872755200 is an abundant number, since it is smaller than the sum of its proper divisors (406153454400).

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

153872755200 is a wasteful number, since it uses less digits than its factorization.

153872755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 153872755200 in words is "one hundred fifty-three billion, eight hundred seventy-two million, seven hundred fifty-five thousand, two hundred".