131340090 has 96 divisors (see below), whose sum is σ = 374678784. Its totient is φ = 29366400.

The previous prime is 131340089. The next prime is 131340091. The reversal of 131340090 is 90043131.

It is an interprime number because it is at equal distance from previous prime (131340089) and next prime (131340091).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131340091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68140 + ... + 70040.

It is an arithmetic number, because the mean of its divisors is an integer number (3902904).

Almost surely, 2^131340090 is an apocalyptic number.

131340090 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 131340090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187339392).

131340090 is an abundant number, since it is smaller than the sum of its proper divisors (243338694).

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

131340090 is a wasteful number, since it uses less digits than its factorization.

131340090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131340090 is about 11460.3704128619. The cubic root of 131340090 is about 508.3144275569.

The spelling of 131340090 in words is "one hundred thirty-one million, three hundred forty thousand, ninety".