75135132 has 54 divisors (see below), whose sum is σ = 193836552. Its totient is φ = 24539424.

The previous prime is 75135131. The next prime is 75135149. The reversal of 75135132 is 23153157.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75135096 and 75135105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75135131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100753 + ... + 101495.

Almost surely, 2^75135132 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 75135132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96918276).

75135132 is an abundant number, since it is smaller than the sum of its proper divisors (118701420).

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

75135132 is a wasteful number, since it uses less digits than its factorization.

75135132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 801 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 75135132 is about 8668.0523763992. The cubic root of 75135132 is about 421.9694578945.

Adding to 75135132 its reverse (23153157), we get a palindrome (98288289).

The spelling of 75135132 in words is "seventy-five million, one hundred thirty-five thousand, one hundred thirty-two".