153330120 has 96 divisors (see below), whose sum is σ = 503376120. Its totient is φ = 40473600.

The previous prime is 153330091. The next prime is 153330143. The reversal of 153330120 is 21033351.

It can be written as a sum of positive squares in 4 ways, for example, as 152917956 + 412164 = 12366^2 + 642^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 153330093 and 153330102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34252 + ... + 38468.

Almost surely, 2^153330120 is an apocalyptic number.

153330120 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 153330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251688060).

153330120 is an abundant number, since it is smaller than the sum of its proper divisors (350046000).

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

153330120 is a wasteful number, since it uses less digits than its factorization.

153330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 153330120 is about 12382.6539966196. The cubic root of 153330120 is about 535.2325189542.

Adding to 153330120 its reverse (21033351), we get a palindrome (174363471).

The spelling of 153330120 in words is "one hundred fifty-three million, three hundred thirty thousand, one hundred twenty".