152853120 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 32735232.

The previous prime is 152853083. The next prime is 152853121. The reversal of 152853120 is 21358251.

It is a happy number.

152853120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (152853121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685329 + ... + 685551.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^152853120 is an apocalyptic number.

152853120 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 152853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

152853120 is an abundant number, since it is smaller than the sum of its proper divisors (488718720).

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

152853120 is a wasteful number, since it uses less digits than its factorization.

152853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 152853120 is about 12363.3781791224. The cubic root of 152853120 is about 534.6769179265.

The spelling of 152853120 in words is "one hundred fifty-two million, eight hundred fifty-three thousand, one hundred twenty".