131424000 has 216 divisors, whose sum is σ = 448641648. Its totient is φ = 34099200.

The previous prime is 131423987. The next prime is 131424023. The reversal of 131424000 is 424131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3551982 + ... + 3552018.

Almost surely, 2^131424000 is an apocalyptic number.

131424000 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 131424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224320824).

131424000 is an abundant number, since it is smaller than the sum of its proper divisors (317217648).

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

131424000 is an frugal number, since it uses more digits than its factorization.

131424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131424000 is about 11464.0307047740. The cubic root of 131424000 is about 508.4226544346.

Multiplying 131424000 by its sum of digits (15), we get a square (1971360000 = 44400²).

131424000 divided by its sum of digits (15) gives a square (8761600 = 2960²).

Adding to 131424000 its reverse (424131), we get a palindrome (131848131).

The spelling of 131424000 in words is "one hundred thirty-one million, four hundred twenty-four thousand".