150901201824 has 144 divisors (see below), whose sum is σ = 410427077760. Its totient is φ = 48544512000.

The previous prime is 150901201807. The next prime is 150901201831. The reversal of 150901201824 is 428102109051.

150901201824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36992617 + ... + 36996695.

It is an arithmetic number, because the mean of its divisors is an integer number (2850188040).

Almost surely, 2^150901201824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150901201824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205213538880).

150901201824 is an abundant number, since it is smaller than the sum of its proper divisors (259525875936).

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

150901201824 is a wasteful number, since it uses less digits than its factorization.

150901201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 150901201824 in words is "one hundred fifty billion, nine hundred one million, two hundred one thousand, eight hundred twenty-four".