242135545300000 has 144 divisors (see below), whose sum is σ = 650009792585664. Its totient is φ = 88049288800000.

The previous prime is 242135545299983. The next prime is 242135545300003. The reversal of 242135545300000 is 3545531242.

It is not an unprimeable number, because it can be changed into a prime (242135545300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108961612 + ... + 111161611.

It is an arithmetic number, because the mean of its divisors is an integer number (4513956892956).

Almost surely, 2^{242135545300000} is an apocalyptic number.

242135545300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242135545300000 is an abundant number, since it is smaller than the sum of its proper divisors (407874247285664).

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

242135545300000 is an equidigital number, since it uses as much as digits as its factorization.

242135545300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220123269 (or 220123241 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 242135545300000 in words is "two hundred forty-two trillion, one hundred thirty-five billion, five hundred forty-five million, three hundred thousand".