131142185772 has 192 divisors, whose sum is σ = 351055380480. Its totient is φ = 37798016256.

The previous prime is 131142185731. The next prime is 131142185843. The reversal of 131142185772 is 277581241131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35996583 + ... + 36000225.

It is an arithmetic number, because the mean of its divisors is an integer number (1828413440).

Almost surely, 2^131142185772 is an apocalyptic number.

131142185772 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 131142185772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175527690240).

131142185772 is an abundant number, since it is smaller than the sum of its proper divisors (219913194708).

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

131142185772 is a wasteful number, since it uses less digits than its factorization.

131142185772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3890 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The spelling of 131142185772 in words is "one hundred thirty-one billion, one hundred forty-two million, one hundred eighty-five thousand, seven hundred seventy-two".