152005016053242 has 96 divisors (see below), whose sum is σ = 371812584199680. Its totient is φ = 44457159116160.

The previous prime is 152005016053237. The next prime is 152005016053259. The reversal of 152005016053242 is 242350610500251.

152005016053242 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 5 + 0 + 1 + 605 + 3 + 2 + 42 = 666.

It is a super-3 number, since 3×152005016053242³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152005016053197 and 152005016053206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10426903 + ... + 20315765.

It is an arithmetic number, because the mean of its divisors is an integer number (3873047752080).

Almost surely, 2^{152005016053242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152005016053242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185906292099840).

152005016053242 is an abundant number, since it is smaller than the sum of its proper divisors (219807568146438).

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

152005016053242 is a wasteful number, since it uses less digits than its factorization.

152005016053242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891588 (or 9891585 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 152005016053242 its reverse (242350610500251), we get a palindrome (394355626553493).

The spelling of 152005016053242 in words is "one hundred fifty-two trillion, five billion, sixteen million, fifty-three thousand, two hundred forty-two".