152999104800 has 288 divisors, whose sum is σ = 517084404480. Its totient is φ = 39247667200.

The previous prime is 152999104789. The next prime is 152999104807. The reversal of 152999104800 is 8401999251.

It is a Cunningham number, because it is equal to 391151²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152999104800.

It is not an unprimeable number, because it can be changed into a prime (152999104807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19553689 + ... + 19561511.

It is an arithmetic number, because the mean of its divisors is an integer number (1795431960).

Almost surely, 2^152999104800 is an apocalyptic number.

152999104800 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 152999104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258542202240).

152999104800 is an abundant number, since it is smaller than the sum of its proper divisors (364085299680).

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

152999104800 is a wasteful number, since it uses less digits than its factorization.

152999104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 152999104800 in words is "one hundred fifty-two billion, nine hundred ninety-nine million, one hundred four thousand, eight hundred".