240153120 has 192 divisors, whose sum is σ = 877443840. Its totient is φ = 61231104.

The previous prime is 240153119. The next prime is 240153139. The reversal of 240153120 is 21351042.

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 = 240153093 and 240153102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98152 + ... + 100568.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^240153120 is an apocalyptic number.

240153120 is a gapful number since it is divisible by the number (20) 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 240153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

240153120 is an abundant number, since it is smaller than the sum of its proper divisors (637290720).

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

240153120 is a wasteful number, since it uses less digits than its factorization.

240153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 240153120 is about 15496.8745235935. The cubic root of 240153120 is about 621.5786340504.

The spelling of 240153120 in words is "two hundred forty million, one hundred fifty-three thousand, one hundred twenty".