150075072000 has 1280 divisors, whose sum is σ = 667971532800. Its totient is φ = 32447692800.

The previous prime is 150075071963. The next prime is 150075072011. The reversal of 150075072000 is 270570051.

150075072000 is a `hidden beast` number, since 150 + 0 + 7 + 507 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 229823674 + ... + 229824326.

It is an arithmetic number, because the mean of its divisors is an integer number (521852760).

Almost surely, 2^150075072000 is an apocalyptic number.

150075072000 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 150075072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333985766400).

150075072000 is an abundant number, since it is smaller than the sum of its proper divisors (517896460800).

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

150075072000 is an equidigital number, since it uses as much as digits as its factorization.

150075072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 150075072000 in words is "one hundred fifty billion, seventy-five million, seventy-two thousand".