131040192 has 56 divisors (see below), whose sum is σ = 347965776. Its totient is φ = 43522048.

The previous prime is 131040191. The next prime is 131040209. The reversal of 131040192 is 291040131.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131040191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59788 + ... + 61940.

Almost surely, 2^131040192 is an apocalyptic number.

131040192 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 131040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173982888).

131040192 is an abundant number, since it is smaller than the sum of its proper divisors (216925584).

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

131040192 is a wasteful number, since it uses less digits than its factorization.

131040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131040192 is about 11447.2788032790. The cubic root of 131040192 is about 507.9272427678.

The spelling of 131040192 in words is "one hundred thirty-one million, forty thousand, one hundred ninety-two".