132431400 has 288 divisors, whose sum is σ = 478764000. Its totient is φ = 32739840.

The previous prime is 132431381. The next prime is 132431423. The reversal of 132431400 is 4134231.

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

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, 2244571 + ... + 2244629.

It is an arithmetic number, because the mean of its divisors is an integer number (1662375).

Almost surely, 2^132431400 is an apocalyptic number.

132431400 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 132431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239382000).

132431400 is an abundant number, since it is smaller than the sum of its proper divisors (346332600).

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

132431400 is a wasteful number, since it uses less digits than its factorization.

132431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132431400 is about 11507.8842538496. The cubic root of 132431400 is about 509.7184143379.

Adding to 132431400 its reverse (4134231), we get a palindrome (136565631).

The spelling of 132431400 in words is "one hundred thirty-two million, four hundred thirty-one thousand, four hundred".