131400320 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 49213440.

The previous prime is 131400317. The next prime is 131400329. The reversal of 131400320 is 23004131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131400320² = 34532088192204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131400295 and 131400304.

It is not an unprimeable number, because it can be changed into a prime (131400329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733991 + ... + 734169.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^131400320 is an apocalyptic number.

131400320 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 131400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

131400320 is an abundant number, since it is smaller than the sum of its proper divisors (203486080).

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

131400320 is a wasteful number, since it uses less digits than its factorization.

131400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131400320 is about 11462.9978626885. The cubic root of 131400320 is about 508.3921167053.

Adding to 131400320 its reverse (23004131), we get a palindrome (154404451).

The spelling of 131400320 in words is "one hundred thirty-one million, four hundred thousand, three hundred twenty".