131867190 has 160 divisors (see below), whose sum is σ = 436645440. Its totient is φ = 27806976.

The previous prime is 131867179. The next prime is 131867191. The reversal of 131867190 is 91768131.

It is a super-2 number, since 2×131867190² = 34777911596992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131867191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72816 + ... + 74604.

It is an arithmetic number, because the mean of its divisors is an integer number (2729034).

Almost surely, 2^131867190 is an apocalyptic number.

131867190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131867190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218322720).

131867190 is an abundant number, since it is smaller than the sum of its proper divisors (304778250).

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

131867190 is a wasteful number, since it uses less digits than its factorization.

131867190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131867190 is about 11483.3440251523. The cubic root of 131867190 is about 508.9935167455.

The spelling of 131867190 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand, one hundred ninety".