152623425024 has 360 divisors, whose sum is σ = 534693210480. Its totient is φ = 41709330432.

The previous prime is 152623425013. The next prime is 152623425037. The reversal of 152623425024 is 420524326251.

152623425024 is a `hidden beast` number, since 1 + 5 + 2 + 623 + 4 + 2 + 5 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152623425024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5178522 + ... + 5207910.

It is an arithmetic number, because the mean of its divisors is an integer number (1485258918).

Almost surely, 2^152623425024 is an apocalyptic number.

152623425024 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 152623425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267346605240).

152623425024 is an abundant number, since it is smaller than the sum of its proper divisors (382069785456).

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

152623425024 is a wasteful number, since it uses less digits than its factorization.

152623425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29450 (or 29424 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 152623425024 in words is "one hundred fifty-two billion, six hundred twenty-three million, four hundred twenty-five thousand, twenty-four".