150132680544 has 384 divisors, whose sum is σ = 512096256000. Its totient is φ = 38161482240.

The previous prime is 150132680491. The next prime is 150132680549. The reversal of 150132680544 is 445086231051.

150132680544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150132680544² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150132680549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17019367 + ... + 17028185.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584000).

Almost surely, 2^150132680544 is an apocalyptic number.

150132680544 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 150132680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128000).

150132680544 is an abundant number, since it is smaller than the sum of its proper divisors (361963575456).

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

150132680544 is a wasteful number, since it uses less digits than its factorization.

150132680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 150132680544 in words is "one hundred fifty billion, one hundred thirty-two million, six hundred eighty thousand, five hundred forty-four".