150943962960 has 1440 divisors, whose sum is σ = 646216496640. Its totient is φ = 31408570368.

The previous prime is 150943962959. The next prime is 150943962971. The reversal of 150943962960 is 69269349051.

150943962960 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 4 + 3 + 9 + 629 + 6 + 0 = 666.

It is a super-3 number, since 3×150943962960³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150943962897 and 150943962906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2067725484 + ... + 2067725556.

It is an arithmetic number, because the mean of its divisors is an integer number (448761456).

Almost surely, 2^150943962960 is an apocalyptic number.

150943962960 is a gapful number since it is divisible by the number (10) 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 150943962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323108248320).

150943962960 is an abundant number, since it is smaller than the sum of its proper divisors (495272533680).

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

150943962960 is a wasteful number, since it uses less digits than its factorization.

150943962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 150943962960 in words is "one hundred fifty billion, nine hundred forty-three million, nine hundred sixty-two thousand, nine hundred sixty".