153352320 has 256 divisors, whose sum is σ = 547274880. Its totient is φ = 36208640.

The previous prime is 153352313. The next prime is 153352321. The reversal of 153352320 is 23253351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (153352321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119292 + ... + 1119428.

Almost surely, 2^153352320 is an apocalyptic number.

153352320 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 153352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273637440).

153352320 is an abundant number, since it is smaller than the sum of its proper divisors (393922560).

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

153352320 is a wasteful number, since it uses less digits than its factorization.

153352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 153352320 is about 12383.5503794348. The cubic root of 153352320 is about 535.2583490358.

The spelling of 153352320 in words is "one hundred fifty-three million, three hundred fifty-two thousand, three hundred twenty".