150983966952 has 480 divisors, whose sum is σ = 548092175400. Its totient is φ = 38443797504.

The previous prime is 150983966921. The next prime is 150983966977. The reversal of 150983966952 is 259669389051.

150983966952 is a `hidden beast` number, since 1 + 50 + 98 + 396 + 69 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100738951236 + 50245015716 = 317394^2 + 224154^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 150983966952.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11964198 + ... + 11976810.

Almost surely, 2^150983966952 is an apocalyptic number.

150983966952 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 150983966952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274046087700).

150983966952 is an abundant number, since it is smaller than the sum of its proper divisors (397108208448).

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

150983966952 is a wasteful number, since it uses less digits than its factorization.

150983966952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 150983966952 in words is "one hundred fifty billion, nine hundred eighty-three million, nine hundred sixty-six thousand, nine hundred fifty-two".