150573068352 has 336 divisors, whose sum is σ = 507471224832. Its totient is φ = 41791196160.

The previous prime is 150573068341. The next prime is 150573068363. The reversal of 150573068352 is 253860375051.

150573068352 is a `hidden beast` number, since 1 + 505 + 7 + 30 + 68 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (150573068341) and next prime (150573068363).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 150573068298 and 150573068307.

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, 33112543 + ... + 33117089.

Almost surely, 2^150573068352 is an apocalyptic number.

150573068352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150573068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253735612416).

150573068352 is an abundant number, since it is smaller than the sum of its proper divisors (356898156480).

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

150573068352 is a wasteful number, since it uses less digits than its factorization.

150573068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 150573068352 in words is "one hundred fifty billion, five hundred seventy-three million, sixty-eight thousand, three hundred fifty-two".