147135632 has 60 divisors (see below), whose sum is σ = 337970556. Its totient is φ = 61850880.

The previous prime is 147135631. The next prime is 147135649. The reversal of 147135632 is 236531741.

147135632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 84345856 + 62789776 = 9184^2 + 7924^2 .

It is not an unprimeable number, because it can be changed into a prime (147135631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39782 + ... + 43322.

Almost surely, 2^147135632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168985278).

147135632 is an abundant number, since it is smaller than the sum of its proper divisors (190834924).

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

147135632 is a wasteful number, since it uses less digits than its factorization.

147135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3603 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 147135632 is about 12129.9477327810. The cubic root of 147135632 is about 527.9254754015.

The spelling of 147135632 in words is "one hundred forty-seven million, one hundred thirty-five thousand, six hundred thirty-two".