153345360 has 160 divisors (see below), whose sum is σ = 549464832. Its totient is φ = 34652160.

The previous prime is 153345343. The next prime is 153345373. The reversal of 153345360 is 63543351.

It is a happy number.

153345360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162490 + ... + 163430.

Almost surely, 2^153345360 is an apocalyptic number.

153345360 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 153345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274732416).

153345360 is an abundant number, since it is smaller than the sum of its proper divisors (396119472).

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

153345360 is a wasteful number, since it uses less digits than its factorization.

153345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 153345360 is about 12383.2693582915. The cubic root of 153345360 is about 535.2502512244.

The spelling of 153345360 in words is "one hundred fifty-three million, three hundred forty-five thousand, three hundred sixty".