135340032 has 56 divisors (see below), whose sum is σ = 360950256. Its totient is φ = 45105152.

The previous prime is 135340031. The next prime is 135340039. The reversal of 135340032 is 230043531.

It is a super-2 number, since 2×135340032² = 36633848523522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135339990 and 135340008.

It is not an unprimeable number, because it can be changed into a prime (135340031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21823 + ... + 27329.

Almost surely, 2^135340032 is an apocalyptic number.

135340032 is a gapful number since it is divisible by the number (12) 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 135340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180475128).

135340032 is an abundant number, since it is smaller than the sum of its proper divisors (225610224).

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

135340032 is an frugal number, since it uses more digits than its factorization.

135340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 135340032 is about 11633.5734836722. The cubic root of 135340032 is about 513.4231240394.

Adding to 135340032 its reverse (230043531), we get a palindrome (365383563).

The spelling of 135340032 in words is "one hundred thirty-five million, three hundred forty thousand, thirty-two".