150133503168 has 336 divisors, whose sum is σ = 490829144832. Its totient is φ = 43431168000.

The previous prime is 150133503133. The next prime is 150133503203. The reversal of 150133503168 is 861305331051.

150133503168 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 335 + 0 + 316 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (150133503133) and next prime (150133503203).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 141501358 + ... + 141502418.

Almost surely, 2^150133503168 is an apocalyptic number.

150133503168 is a gapful number since it is divisible by the number (18) 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 150133503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245414572416).

150133503168 is an abundant number, since it is smaller than the sum of its proper divisors (340695641664).

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

150133503168 is a wasteful number, since it uses less digits than its factorization.

150133503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 150133503168 in words is "one hundred fifty billion, one hundred thirty-three million, five hundred three thousand, one hundred sixty-eight".