152195428224 has 960 divisors, whose sum is σ = 564652424160. Its totient is φ = 39827054592.

The previous prime is 152195428163. The next prime is 152195428241. The reversal of 152195428224 is 422824591251.

152195428224 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 9 + 542 + 82 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (460800) is a multiple of the sum of its prime divisors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 152195428224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 969397554 + ... + 969397710.

Almost surely, 2^152195428224 is an apocalyptic number.

152195428224 is a gapful number since it is divisible by the number (14) 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 152195428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282326212080).

152195428224 is an abundant number, since it is smaller than the sum of its proper divisors (412456995936).

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

152195428224 is a wasteful number, since it uses less digits than its factorization.

152195428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 225 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 152195428224 in words is "one hundred fifty-two billion, one hundred ninety-five million, four hundred twenty-eight thousand, two hundred twenty-four".