131441400 has 192 divisors, whose sum is σ = 459122400. Its totient is φ = 34560000.

The previous prime is 131441381. The next prime is 131441413. The reversal of 131441400 is 4144131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 545280 + ... + 545520.

Almost surely, 2^131441400 is an apocalyptic number.

131441400 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 131441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

131441400 is an abundant number, since it is smaller than the sum of its proper divisors (327681000).

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

131441400 is a wasteful number, since it uses less digits than its factorization.

131441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131441400 is about 11464.7895750424. The cubic root of 131441400 is about 508.4450911377.

Adding to 131441400 its reverse (4144131), we get a palindrome (135585531).

It can be divided in two parts, 131441 and 400, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131441400 in words is "one hundred thirty-one million, four hundred forty-one thousand, four hundred".