131643400 has 192 divisors, whose sum is σ = 379440000. Its totient is φ = 42336000.

The previous prime is 131643397. The next prime is 131643439. The reversal of 131643400 is 4346131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303350 + ... + 1303450.

It is an arithmetic number, because the mean of its divisors is an integer number (1976250).

Almost surely, 2^131643400 is an apocalyptic number.

131643400 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 131643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720000).

131643400 is an abundant number, since it is smaller than the sum of its proper divisors (247796600).

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

131643400 is a wasteful number, since it uses less digits than its factorization.

131643400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131643400 is about 11473.5957746471. The cubic root of 131643400 is about 508.7054184021.

Adding to 131643400 its reverse (4346131), we get a palindrome (135989531).

The spelling of 131643400 in words is "one hundred thirty-one million, six hundred forty-three thousand, four hundred".