132526500 has 96 divisors (see below), whose sum is σ = 393434496. Its totient is φ = 34652800.

The previous prime is 132526481. The next prime is 132526507. The reversal of 132526500 is 5625231.

It is not an unprimeable number, because it can be changed into a prime (132526507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78667 + ... + 80333.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2^132526500 is an apocalyptic number.

132526500 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 132526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196717248).

132526500 is an abundant number, since it is smaller than the sum of its proper divisors (260907996).

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

132526500 is a wasteful number, since it uses less digits than its factorization.

132526500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 132526500 is about 11512.0154621161. The cubic root of 132526500 is about 509.8403960396.

The spelling of 132526500 in words is "one hundred thirty-two million, five hundred twenty-six thousand, five hundred".