131867000 has 64 divisors (see below), whose sum is σ = 310845600. Its totient is φ = 52358400.

The previous prime is 131866991. The next prime is 131867009. The reversal of 131867000 is 768131.

It is an interprime number because it is at equal distance from previous prime (131866991) and next prime (131867009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131867009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162596 + ... + 163404.

Almost surely, 2^131867000 is an apocalyptic number.

131867000 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 131867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155422800).

131867000 is an abundant number, since it is smaller than the sum of its proper divisors (178978600).

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

131867000 is a wasteful number, since it uses less digits than its factorization.

131867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 131867000 is about 11483.3357522978. The cubic root of 131867000 is about 508.9932722854.

The spelling of 131867000 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand".