152252320 has 192 divisors, whose sum is σ = 430012800. Its totient is φ = 50319360.

The previous prime is 152252281. The next prime is 152252363. The reversal of 152252320 is 23252251.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 152252291 and 152252300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969682 + ... + 969838.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 2^152252320 is an apocalyptic number.

152252320 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 152252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215006400).

152252320 is an abundant number, since it is smaller than the sum of its proper divisors (277760480).

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

152252320 is a wasteful number, since it uses less digits than its factorization.

152252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152252320 is about 12339.0566900392. The cubic root of 152252320 is about 533.9754696096.

The spelling of 152252320 in words is "one hundred fifty-two million, two hundred fifty-two thousand, three hundred twenty".