132745536 has 336 divisors, whose sum is σ = 492605568. Its totient is φ = 33177600.

The previous prime is 132745523. The next prime is 132745553. The reversal of 132745536 is 635547231.

132745536 is a `hidden beast` number, since 1 + 32 + 74 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (75600) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 132745536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1818396 + ... + 1818468.

It is an arithmetic number, because the mean of its divisors is an integer number (1466088).

Almost surely, 2^132745536 is an apocalyptic number.

132745536 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 132745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302784).

132745536 is an abundant number, since it is smaller than the sum of its proper divisors (359860032).

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

132745536 is a wasteful number, since it uses less digits than its factorization.

132745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 132745536 is about 11521.5248990748. The cubic root of 132745536 is about 510.1211246332.

The spelling of 132745536 in words is "one hundred thirty-two million, seven hundred forty-five thousand, five hundred thirty-six".