150087168000 has 2080 divisors, whose sum is σ = 712458160128. Its totient is φ = 30523392000.

The previous prime is 150087167983. The next prime is 150087168001. The reversal of 150087168000 is 861780051.

150087168000 is a `hidden beast` number, since 1 + 500 + 8 + 71 + 6 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150087168001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3193343977 + ... + 3193344023.

Almost surely, 2^150087168000 is an apocalyptic number.

150087168000 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 150087168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356229080064).

150087168000 is an abundant number, since it is smaller than the sum of its proper divisors (562370992128).

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

150087168000 is an equidigital number, since it uses as much as digits as its factorization.

150087168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 150087168000 in words is "one hundred fifty billion, eighty-seven million, one hundred sixty-eight thousand".