131948197920 has 576 divisors, whose sum is σ = 571997147904. Its totient is φ = 26899292160.

The previous prime is 131948197891. The next prime is 131948197939. The reversal of 131948197920 is 29791849131.

131948197920 is a `hidden beast` number, since 131 + 9 + 481 + 9 + 7 + 9 + 20 = 666.

131948197920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5865414 + ... + 5887866.

It is an arithmetic number, because the mean of its divisors is an integer number (993050604).

Almost surely, 2^131948197920 is an apocalyptic number.

131948197920 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 131948197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285998573952).

131948197920 is an abundant number, since it is smaller than the sum of its proper divisors (440048949984).

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

131948197920 is a wasteful number, since it uses less digits than its factorization.

131948197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22545 (or 22534 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 131948197920 in words is "one hundred thirty-one billion, nine hundred forty-eight million, one hundred ninety-seven thousand, nine hundred twenty".