131632200 has 288 divisors, whose sum is σ = 523061760. Its totient is φ = 29030400.

The previous prime is 131632147. The next prime is 131632211. The reversal of 131632200 is 2236131.

131632200 is a `hidden beast` number, since 1 + 31 + 632 + 2 + 0 + 0 = 666.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390432 + ... + 390768.

Almost surely, 2^131632200 is an apocalyptic number.

131632200 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 131632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261530880).

131632200 is an abundant number, since it is smaller than the sum of its proper divisors (391429560).

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

131632200 is a wasteful number, since it uses less digits than its factorization.

131632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131632200 is about 11473.1076871090. The cubic root of 131632200 is about 508.6909913912.

Adding to 131632200 its reverse (2236131), we get a palindrome (133868331).

The spelling of 131632200 in words is "one hundred thirty-one million, six hundred thirty-two thousand, two hundred".