152844943680 has 1792 divisors, whose sum is σ = 707877273600. Its totient is φ = 30417223680.

The previous prime is 152844943649. The next prime is 152844943709. The reversal of 152844943680 is 86349448251.

152844943680 is a `hidden beast` number, since 1 + 52 + 84 + 4 + 9 + 436 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 399072769 + ... + 399073151.

It is an arithmetic number, because the mean of its divisors is an integer number (395020800).

Almost surely, 2^152844943680 is an apocalyptic number.

152844943680 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 152844943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353938636800).

152844943680 is an abundant number, since it is smaller than the sum of its proper divisors (555032329920).

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

152844943680 is a wasteful number, since it uses less digits than its factorization.

152844943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 152844943680 in words is "one hundred fifty-two billion, eight hundred forty-four million, nine hundred forty-three thousand, six hundred eighty".