131774820 has 192 divisors, whose sum is σ = 420650496. Its totient is φ = 30638080.

The previous prime is 131774813. The next prime is 131774821. The reversal of 131774820 is 28477131.

It is a happy number.

131774820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131774821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961792 + ... + 961928.

It is an arithmetic number, because the mean of its divisors is an integer number (2190888).

Almost surely, 2^131774820 is an apocalyptic number.

131774820 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 131774820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210325248).

131774820 is an abundant number, since it is smaller than the sum of its proper divisors (288875676).

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

131774820 is a wasteful number, since it uses less digits than its factorization.

131774820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 131774820 is about 11479.3214085154. The cubic root of 131774820 is about 508.8746428158.

The spelling of 131774820 in words is "one hundred thirty-one million, seven hundred seventy-four thousand, eight hundred twenty".