132545600 has 168 divisors, whose sum is σ = 377574048. Its totient is φ = 45260800.

The previous prime is 132545591. The next prime is 132545603. The reversal of 132545600 is 6545231.

132545600 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 132545600.

It is not an unprimeable number, because it can be changed into a prime (132545603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298979 + ... + 299421.

Almost surely, 2^132545600 is an apocalyptic number.

132545600 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 132545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188787024).

132545600 is an abundant number, since it is smaller than the sum of its proper divisors (245028448).

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

132545600 is a wasteful number, since it uses less digits than its factorization.

132545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 132545600 is about 11512.8450002595. The cubic root of 132545600 is about 509.8648879558.

The spelling of 132545600 in words is "one hundred thirty-two million, five hundred forty-five thousand, six hundred".