153117120 has 112 divisors (see below), whose sum is σ = 523585440. Its totient is φ = 37687296.

The previous prime is 153117061. The next prime is 153117121. The reversal of 153117120 is 21711351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153117121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6346 + ... + 18614.

It is an arithmetic number, because the mean of its divisors is an integer number (4674870).

Almost surely, 2^153117120 is an apocalyptic number.

153117120 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 153117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261792720).

153117120 is an abundant number, since it is smaller than the sum of its proper divisors (370468320).

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

153117120 is a wasteful number, since it uses less digits than its factorization.

153117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 153117120 is about 12374.0502665861. The cubic root of 153117120 is about 534.9845629808.

Adding to 153117120 its reverse (21711351), we get a palindrome (174828471).

The spelling of 153117120 in words is "one hundred fifty-three million, one hundred seventeen thousand, one hundred twenty".