153120 has 96 divisors (see below), whose sum is σ = 544320. Its totient is φ = 35840.

The previous prime is 153113. The next prime is 153133. The reversal of 153120 is 21351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 153096 and 153105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153120.

It is an unprimeable number.

153120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹⁵³¹²⁰ is an apocalyptic number.

153120 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 153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

153120 is an abundant number, since it is smaller than the sum of its proper divisors (391200).

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

153120 is a wasteful number, since it uses less digits than its factorization.

153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 153120 is about 391.3055072447. The cubic root of 153120 is about 53.4987917158.

Adding to 153120 its reverse (21351), we get a palindrome (174471).

Subtracting from 153120 its reverse (21351), we obtain a square (131769 = 363²).

It can be divided in two parts, 1531 and 20, that added together give a palindrome (1551).

The spelling of 153120 in words is "one hundred fifty-three thousand, one hundred twenty".