242154152255052 has 144 divisors (see below), whose sum is σ = 669364707578112. Its totient is φ = 73482013163520.

The previous prime is 242154152255027. The next prime is 242154152255143. The reversal of 242154152255052 is 250552251451242.

242154152255052 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 41 + 5 + 2 + 2 + 550 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242154152254989 and 242154152255007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34197148 + ... + 40666364.

It is an arithmetic number, because the mean of its divisors is an integer number (4648366024848).

Almost surely, 2^{242154152255052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242154152255052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334682353789056).

242154152255052 is an abundant number, since it is smaller than the sum of its proper divisors (427210555323060).

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

242154152255052 is a wasteful number, since it uses less digits than its factorization.

242154152255052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471248 (or 6471243 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 242154152255052 in words is "two hundred forty-two trillion, one hundred fifty-four billion, one hundred fifty-two million, two hundred fifty-five thousand, fifty-two".