150189137280 has 1920 divisors, whose sum is σ = 693837619200. Its totient is φ = 30277877760.

The previous prime is 150189137251. The next prime is 150189137291. The reversal of 150189137280 is 82731981051.

150189137280 is a `hidden beast` number, since 1 + 501 + 8 + 9 + 137 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1901128281 + ... + 1901128359.

It is an arithmetic number, because the mean of its divisors is an integer number (361373760).

Almost surely, 2^150189137280 is an apocalyptic number.

150189137280 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 150189137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346918809600).

150189137280 is an abundant number, since it is smaller than the sum of its proper divisors (543648481920).

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

150189137280 is a wasteful number, since it uses less digits than its factorization.

150189137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 150189137280 in words is "one hundred fifty billion, one hundred eighty-nine million, one hundred thirty-seven thousand, two hundred eighty".