131867010 has 72 divisors (see below), whose sum is σ = 376887420. Its totient is φ = 31965120.

The previous prime is 131867009. The next prime is 131867017. The reversal of 131867010 is 10768131.

It can be written as a sum of positive squares in 2 ways, for example, as 120758121 + 11108889 = 10989^2 + 3333^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131867017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4836 + ... + 16944.

Almost surely, 2^131867010 is an apocalyptic number.

131867010 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 131867010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188443710).

131867010 is an abundant number, since it is smaller than the sum of its proper divisors (245020410).

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

131867010 is a wasteful number, since it uses less digits than its factorization.

131867010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 131867010 is about 11483.3361877113. The cubic root of 131867010 is about 508.9932851517.

The spelling of 131867010 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand, ten".