132134400 has 360 divisors, whose sum is σ = 501319104. Its totient is φ = 33177600.

The previous prime is 132134393. The next prime is 132134419. The reversal of 132134400 is 4431231.

132134400 is a `hidden beast` number, since 1 + 321 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3571182 + ... + 3571218.

Almost surely, 2^132134400 is an apocalyptic number.

132134400 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 132134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250659552).

132134400 is an abundant number, since it is smaller than the sum of its proper divisors (369184704).

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

132134400 is a wasteful number, since it uses less digits than its factorization.

132134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

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

The square root of 132134400 is about 11494.9728142349. The cubic root of 132134400 is about 509.3370856395.

Adding to 132134400 its reverse (4431231), we get a palindrome (136565631).

It can be divided in two parts, 1321 and 34400, that added together give a square (35721 = 189²).

The spelling of 132134400 in words is "one hundred thirty-two million, one hundred thirty-four thousand, four hundred".