152093491200 has 864 divisors, whose sum is σ = 635280692670. Its totient is φ = 34681651200.

The previous prime is 152093491141. The next prime is 152093491237. The reversal of 152093491200 is 2194390251.

152093491200 is a `hidden beast` number, since 1 + 520 + 9 + 3 + 4 + 9 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 59833073664 + 92260417536 = 244608^2 + 303744^2 .

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 (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 361266990 + ... + 361267410.

Almost surely, 2^152093491200 is an apocalyptic number.

152093491200 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 152093491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317640346335).

152093491200 is an abundant number, since it is smaller than the sum of its proper divisors (483187201470).

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

152093491200 is an equidigital number, since it uses as much as digits as its factorization.

152093491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 152093491200 in words is "one hundred fifty-two billion, ninety-three million, four hundred ninety-one thousand, two hundred".