132535700 has 72 divisors (see below), whose sum is σ = 318354624. Its totient is φ = 47488000.

The previous prime is 132535691. The next prime is 132535703. The reversal of 132535700 is 7535231.

It is a self number, because there is not a number n which added to its sum of digits gives 132535700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132535703) 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, 77252 + ... + 78948.

It is an arithmetic number, because the mean of its divisors is an integer number (4421592).

Almost surely, 2^132535700 is an apocalyptic number.

132535700 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 132535700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159177312).

132535700 is an abundant number, since it is smaller than the sum of its proper divisors (185818924).

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

132535700 is a wasteful number, since it uses less digits than its factorization.

132535700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 132535700 is about 11512.4150376887. The cubic root of 132535700 is about 509.8521934867.

The spelling of 132535700 in words is "one hundred thirty-two million, five hundred thirty-five thousand, seven hundred".