152229581107200 has 2496 divisors, whose sum is σ = 610354254827520. Its totient is φ = 37046986997760.

The previous prime is 152229581107193. The next prime is 152229581107301. The reversal of 152229581107200 is 2701185922251.

It is a happy number.

152229581107200 is a `hidden beast` number, since 1 + 5 + 22 + 29 + 581 + 1 + 0 + 7 + 20 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302643302149 + ... + 302643302651.

Almost surely, 2^{152229581107200} is an apocalyptic number.

152229581107200 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 152229581107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305177127413760).

152229581107200 is an abundant number, since it is smaller than the sum of its proper divisors (458124673720320).

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

152229581107200 is a wasteful number, since it uses less digits than its factorization.

152229581107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 152229581107200 in words is "one hundred fifty-two trillion, two hundred twenty-nine billion, five hundred eighty-one million, one hundred seven thousand, two hundred".