135372288 has 80 divisors (see below), whose sum is σ = 372404736. Its totient is φ = 43653120.

The previous prime is 135372287. The next prime is 135372313. The reversal of 135372288 is 882273531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135372287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46195 + ... + 49037.

Almost surely, 2^135372288 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 135372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186202368).

135372288 is an abundant number, since it is smaller than the sum of its proper divisors (237032448).

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

135372288 is an equidigital number, since it uses as much as digits as its factorization.

135372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2879 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 135372288 is about 11634.9597334928. The cubic root of 135372288 is about 513.4639093625.

The spelling of 135372288 in words is "one hundred thirty-five million, three hundred seventy-two thousand, two hundred eighty-eight".