150275934144 has 672 divisors, whose sum is σ = 535833133056. Its totient is φ = 39295549440.

The previous prime is 150275934139. The next prime is 150275934169. The reversal of 150275934144 is 441439572051.

150275934144 is a `hidden beast` number, since 1 + 50 + 2 + 7 + 593 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 150275934144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531010227 + ... + 531010509.

Almost surely, 2^150275934144 is an apocalyptic number.

150275934144 is a gapful number since it is divisible by the number (14) 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 150275934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267916566528).

150275934144 is an abundant number, since it is smaller than the sum of its proper divisors (385557198912).

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

150275934144 is a wasteful number, since it uses less digits than its factorization.

150275934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 150275934144 in words is "one hundred fifty billion, two hundred seventy-five million, nine hundred thirty-four thousand, one hundred forty-four".