132361600 has 192 divisors, whose sum is σ = 394617600. Its totient is φ = 42854400.

The previous prime is 132361589. The next prime is 132361627. The reversal of 132361600 is 6163231.

132361600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425445 + ... + 425755.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^132361600 is an apocalyptic number.

132361600 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 132361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

132361600 is an abundant number, since it is smaller than the sum of its proper divisors (262256000).

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

132361600 is a wasteful number, since it uses less digits than its factorization.

132361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 132361600 is about 11504.8511507103. The cubic root of 132361600 is about 509.6288469648.

The spelling of 132361600 in words is "one hundred thirty-two million, three hundred sixty-one thousand, six hundred".