132529536 has 96 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 42642432.

The previous prime is 132529493. The next prime is 132529559. The reversal of 132529536 is 635925231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×132529536⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132529536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31425 + ... + 35391.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2^132529536 is an apocalyptic number.

132529536 is a gapful number since it is divisible by the number (16) 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 132529536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

132529536 is an abundant number, since it is smaller than the sum of its proper divisors (262088064).

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

132529536 is a wasteful number, since it uses less digits than its factorization.

132529536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4001 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 132529536 is about 11512.1473235882. The cubic root of 132529536 is about 509.8442892575.

The spelling of 132529536 in words is "one hundred thirty-two million, five hundred twenty-nine thousand, five hundred thirty-six".