131490000 has 200 divisors, whose sum is σ = 472598720. Its totient is φ = 34992000.

The previous prime is 131489989. The next prime is 131490017. The reversal of 131490000 is 94131.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 269757 + ... + 270243.

Almost surely, 2^131490000 is an apocalyptic number.

131490000 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 131490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236299360).

131490000 is an abundant number, since it is smaller than the sum of its proper divisors (341108720).

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

131490000 is an equidigital number, since it uses as much as digits as its factorization.

131490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131490000 is about 11466.9089121698. The cubic root of 131490000 is about 508.5077486833.

The spelling of 131490000 in words is "one hundred thirty-one million, four hundred ninety thousand".