131945310 has 192 divisors, whose sum is σ = 421125120. Its totient is φ = 27993600.

The previous prime is 131945287. The next prime is 131945321. The reversal of 131945310 is 13549131.

It is a super-2 number, since 2×131945310² = 34819129661992200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 873735 + ... + 873885.

It is an arithmetic number, because the mean of its divisors is an integer number (2193360).

Almost surely, 2^131945310 is an apocalyptic number.

131945310 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 131945310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210562560).

131945310 is an abundant number, since it is smaller than the sum of its proper divisors (289179810).

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

131945310 is a wasteful number, since it uses less digits than its factorization.

131945310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131945310 is about 11486.7449697467. The cubic root of 131945310 is about 509.0940085715.

The spelling of 131945310 in words is "one hundred thirty-one million, nine hundred forty-five thousand, three hundred ten".