150162368160 has 768 divisors, whose sum is σ = 596121845760. Its totient is φ = 30983454720.

The previous prime is 150162368131. The next prime is 150162368179. The reversal of 150162368160 is 61863261051.

It is a super-2 number, since 2×150162368160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242588331 + ... + 242588949.

It is an arithmetic number, because the mean of its divisors is an integer number (776200320).

Almost surely, 2^150162368160 is an apocalyptic number.

150162368160 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 150162368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298060922880).

150162368160 is an abundant number, since it is smaller than the sum of its proper divisors (445959477600).

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

150162368160 is a wasteful number, since it uses less digits than its factorization.

150162368160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 150162368160 in words is "one hundred fifty billion, one hundred sixty-two million, three hundred sixty-eight thousand, one hundred sixty".