153086120 has 64 divisors (see below), whose sum is σ = 382190400. Its totient is φ = 54714880.

The previous prime is 153086117. The next prime is 153086159. The reversal of 153086120 is 21680351.

153086120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153086120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23012 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (5971725).

Almost surely, 2^153086120 is an apocalyptic number.

153086120 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 153086120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191095200).

153086120 is an abundant number, since it is smaller than the sum of its proper divisors (229104280).

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

153086120 is a wasteful number, since it uses less digits than its factorization.

153086120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 153086120 is about 12372.7975817921. The cubic root of 153086120 is about 534.9484563264.

The spelling of 153086120 in words is "one hundred fifty-three million, eighty-six thousand, one hundred twenty".