131913400 has 48 divisors (see below), whose sum is σ = 314198640. Its totient is φ = 51475200.

The previous prime is 131913391. The next prime is 131913403. The reversal of 131913400 is 4319131.

It is a super-2 number, since 2×131913400² = 34802290199120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131913403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 16243.

It is an arithmetic number, because the mean of its divisors is an integer number (6545805).

Almost surely, 2^131913400 is an apocalyptic number.

131913400 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 131913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157099320).

131913400 is an abundant number, since it is smaller than the sum of its proper divisors (182285240).

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

131913400 is a wasteful number, since it uses less digits than its factorization.

131913400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144 (or 16135 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 131913400 is about 11485.3558934845. The cubic root of 131913400 is about 509.0529650523.

The spelling of 131913400 in words is "one hundred thirty-one million, nine hundred thirteen thousand, four hundred".