150064651242 has 512 divisors, whose sum is σ = 417619722240. Its totient is φ = 39378493440.

The previous prime is 150064651223. The next prime is 150064651271. The reversal of 150064651242 is 242156460051.

150064651242 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 646 + 5 + 1 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150064651197 and 150064651206.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 898590643 + ... + 898590809.

It is an arithmetic number, because the mean of its divisors is an integer number (815663520).

Almost surely, 2^150064651242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150064651242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208809861120).

150064651242 is an abundant number, since it is smaller than the sum of its proper divisors (267555070998).

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

150064651242 is a wasteful number, since it uses less digits than its factorization.

150064651242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 150064651242 in words is "one hundred fifty billion, sixty-four million, six hundred fifty-one thousand, two hundred forty-two".