131822400 has 168 divisors, whose sum is σ = 447873120. Its totient is φ = 33904640.

The previous prime is 131822393. The next prime is 131822401. The reversal of 131822400 is 4228131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131822401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138727 + ... + 139673.

Almost surely, 2^131822400 is an apocalyptic number.

131822400 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 131822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223936560).

131822400 is an abundant number, since it is smaller than the sum of its proper divisors (316050720).

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

131822400 is a wasteful number, since it uses less digits than its factorization.

131822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 131822400 is about 11481.3936436306. The cubic root of 131822400 is about 508.9358819862.

The spelling of 131822400 in words is "one hundred thirty-one million, eight hundred twenty-two thousand, four hundred".