153120000 has 360 divisors, whose sum is σ = 574691040. Its totient is φ = 35840000.

The previous prime is 153119987. The next prime is 153120041. The reversal of 153120000 is 21351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279986 + ... + 5280014.

It is an arithmetic number, because the mean of its divisors is an integer number (1596364).

Almost surely, 2^153120000 is an apocalyptic number.

153120000 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 153120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287345520).

153120000 is an abundant number, since it is smaller than the sum of its proper divisors (421571040).

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

153120000 is an equidigital number, since it uses as much as digits as its factorization.

153120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

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

The square root of 153120000 is about 12374.1666386064. The cubic root of 153120000 is about 534.9879171580.

Adding to 153120000 its reverse (21351), we get a palindrome (153141351).

The spelling of 153120000 in words is "one hundred fifty-three million, one hundred twenty thousand".