242153120 has 48 divisors (see below), whose sum is σ = 624099168. Its totient is φ = 88055040.

The previous prime is 242153101. The next prime is 242153137. The reversal of 242153120 is 21351242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242153092 and 242153101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67034 + ... + 70553.

It is an arithmetic number, because the mean of its divisors is an integer number (13002066).

Almost surely, 2^242153120 is an apocalyptic number.

242153120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242153120 is an abundant number, since it is smaller than the sum of its proper divisors (381946048).

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

242153120 is a wasteful number, since it uses less digits than its factorization.

242153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137613 (or 137605 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 242153120 is about 15561.2698710613. The cubic root of 242153120 is about 623.2993725163.

The spelling of 242153120 in words is "two hundred forty-two million, one hundred fifty-three thousand, one hundred twenty".