150966072000 has 448 divisors, whose sum is σ = 560172412800. Its totient is φ = 39800217600.

The previous prime is 150966071989. The next prime is 150966072073. The reversal of 150966072000 is 270669051.

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 63 ways as a sum of consecutive naturals, for example, 19220074 + ... + 19227926.

It is an arithmetic number, because the mean of its divisors is an integer number (1250384850).

Almost surely, 2^150966072000 is an apocalyptic number.

150966072000 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 150966072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280086206400).

150966072000 is an abundant number, since it is smaller than the sum of its proper divisors (409206340800).

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

150966072000 is an equidigital number, since it uses as much as digits as its factorization.

150966072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 150966072000 in words is "one hundred fifty billion, nine hundred sixty-six million, seventy-two thousand".