152131091112 has 512 divisors, whose sum is σ = 585717350400. Its totient is φ = 35296819200.

The previous prime is 152131091083. The next prime is 152131091173. The reversal of 152131091112 is 211190131251.

It is a happy number.

152131091112 is a `hidden beast` number, since 152 + 1 + 310 + 91 + 112 = 666.

152131091112 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6691348 + ... + 6714044.

It is an arithmetic number, because the mean of its divisors is an integer number (1143979200).

Almost surely, 2^152131091112 is an apocalyptic number.

152131091112 is a gapful number since it is divisible by the number (12) 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 152131091112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292858675200).

152131091112 is an abundant number, since it is smaller than the sum of its proper divisors (433586259288).

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

152131091112 is a wasteful number, since it uses less digits than its factorization.

152131091112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774 (or 22764 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 152131091112 in words is "one hundred fifty-two billion, one hundred thirty-one million, ninety-one thousand, one hundred twelve".