153256320 has 384 divisors, whose sum is σ = 634888800. Its totient is φ = 34836480.

The previous prime is 153256307. The next prime is 153256351. The reversal of 153256320 is 23652351.

153256320 is a `hidden beast` number, since 1 + 5 + 3 + 25 + 632 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846630 + ... + 846810.

Almost surely, 2^153256320 is an apocalyptic number.

153256320 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 153256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317444400).

153256320 is an abundant number, since it is smaller than the sum of its proper divisors (481632480).

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

153256320 is a wasteful number, since it uses less digits than its factorization.

153256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 153256320 is about 12379.6736629040. The cubic root of 153256320 is about 535.1466334610.

The spelling of 153256320 in words is "one hundred fifty-three million, two hundred fifty-six thousand, three hundred twenty".