152743920 has 320 divisors, whose sum is σ = 582819840. Its totient is φ = 32338944.

The previous prime is 152743919. The next prime is 152743951. The reversal of 152743920 is 29347251.

152743920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279727 + ... + 2279793.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 2^152743920 is an apocalyptic number.

152743920 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 152743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

152743920 is an abundant number, since it is smaller than the sum of its proper divisors (430075920).

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

152743920 is a wasteful number, since it uses less digits than its factorization.

152743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 152743920 is about 12358.9611213888. The cubic root of 152743920 is about 534.5495611782.

The spelling of 152743920 in words is "one hundred fifty-two million, seven hundred forty-three thousand, nine hundred twenty".