150531984127360 has 256 divisors, whose sum is σ = 393912080916480. Its totient is φ = 54553446604800.

The previous prime is 150531984127267. The next prime is 150531984127361. The reversal of 150531984127360 is 63721489135051.

150531984127360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150531984127361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4048607970 + ... + 4048645150.

It is an arithmetic number, because the mean of its divisors is an integer number (1538719066080).

It is a 2-persistent number, because it is pandigital, and so is 2⋅150531984127360 = 301063968254720, but 3⋅150531984127360 = 451595952382080 is not.

Almost surely, 2^{150531984127360} is an apocalyptic number.

150531984127360 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 150531984127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196956040458240).

150531984127360 is an abundant number, since it is smaller than the sum of its proper divisors (243380096789120).

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

150531984127360 is a wasteful number, since it uses less digits than its factorization.

150531984127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39145 (or 39133 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 150531984127360 in words is "one hundred fifty trillion, five hundred thirty-one billion, nine hundred eighty-four million, one hundred twenty-seven thousand, three hundred sixty".