131580000 has 360 divisors, whose sum is σ = 506594088. Its totient is φ = 32256000.

The previous prime is 131579977. The next prime is 131580023. The reversal of 131580000 is 85131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131579977) and next prime (131580023).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059979 + ... + 3060021.

Almost surely, 2^131580000 is an apocalyptic number.

131580000 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 131580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253297044).

131580000 is an abundant number, since it is smaller than the sum of its proper divisors (375014088).

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

131580000 is a wasteful number, since it uses less digits than its factorization.

131580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131580000 is about 11470.8325765831. The cubic root of 131580000 is about 508.6237404183.

The spelling of 131580000 in words is "one hundred thirty-one million, five hundred eighty thousand".