153180 has 72 divisors (see below), whose sum is σ = 497952. Its totient is φ = 38016.

The previous prime is 153151. The next prime is 153191. The reversal of 153180 is 81351.

It is a happy number.

153180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153180² = 46928224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4122 + ... + 4158.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2¹⁵³¹⁸⁰ is an apocalyptic number.

153180 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 153180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976).

153180 is an abundant number, since it is smaller than the sum of its proper divisors (344772).

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

153180 is a wasteful number, since it uses less digits than its factorization.

153180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 153180 is about 391.3821661752. The cubic root of 153180 is about 53.5057786287.

It can be divided in two parts, 153 and 180, that added together give a palindrome (333).

The spelling of 153180 in words is "one hundred fifty-three thousand, one hundred eighty".