131820000 has 240 divisors, whose sum is σ = 468412560. Its totient is φ = 32448000.

The previous prime is 131819999. The next prime is 131820001. The reversal of 131820000 is 28131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131819999) and next prime (131820001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 650 × 390 × 520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131820001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10139994 + ... + 10140006.

It is an arithmetic number, because the mean of its divisors is an integer number (1951719).

Almost surely, 2^131820000 is an apocalyptic number.

131820000 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 131820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234206280).

131820000 is an abundant number, since it is smaller than the sum of its proper divisors (336592560).

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

131820000 is an frugal number, since it uses more digits than its factorization.

131820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131820000 is about 11481.2891262262. The cubic root of 131820000 is about 508.9327933520.

Adding to 131820000 its reverse (28131), we get a palindrome (131848131).

The spelling of 131820000 in words is "one hundred thirty-one million, eight hundred twenty thousand".