150909588480 has 1056 divisors, whose sum is σ = 604191864960. Its totient is φ = 31956664320.

The previous prime is 150909588457. The next prime is 150909588493. The reversal of 150909588480 is 84885909051.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 150909588480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872309674 + ... + 872309846.

Almost surely, 2^150909588480 is an apocalyptic number.

150909588480 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 150909588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302095932480).

150909588480 is an abundant number, since it is smaller than the sum of its proper divisors (453282276480).

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

150909588480 is a wasteful number, since it uses less digits than its factorization.

150909588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 57.

The spelling of 150909588480 in words is "one hundred fifty billion, nine hundred nine million, five hundred eighty-eight thousand, four hundred eighty".