150316127136000 has 2160 divisors, whose sum is σ = 651930133366512. Its totient is φ = 34293030912000.

The previous prime is 150316127135989. The next prime is 150316127136001. The reversal of 150316127136000 is 631721613051.

150316127136000 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 1 + 612 + 7 + 1 + 36 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19931153082624 + 130384974053376 = 4464432^2 + 11418624^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×150316127136000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150316127136001) 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 239 ways as a sum of consecutive naturals, for example, 108845855310 + ... + 108845856690.

Almost surely, 2^{150316127136000} is an apocalyptic number.

150316127136000 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 150316127136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325965066683256).

150316127136000 is an abundant number, since it is smaller than the sum of its proper divisors (501614006230512).

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

150316127136000 is an equidigital number, since it uses as much as digits as its factorization.

150316127136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 150316127136000 its reverse (631721613051), we get a palindrome (150947848749051).

The spelling of 150316127136000 in words is "one hundred fifty trillion, three hundred sixteen billion, one hundred twenty-seven million, one hundred thirty-six thousand".