150195224256 has 448 divisors, whose sum is σ = 524517396480. Its totient is φ = 36786032640.

The previous prime is 150195224239. The next prime is 150195224269. The reversal of 150195224256 is 652422591051.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18431575 + ... + 18439721.

It is an arithmetic number, because the mean of its divisors is an integer number (1170797760).

Almost surely, 2^150195224256 is an apocalyptic number.

150195224256 is a gapful number since it is divisible by the number (16) 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 150195224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262258698240).

150195224256 is an abundant number, since it is smaller than the sum of its proper divisors (374322172224).

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

150195224256 is a wasteful number, since it uses less digits than its factorization.

150195224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 150195224256 in words is "one hundred fifty billion, one hundred ninety-five million, two hundred twenty-four thousand, two hundred fifty-six".