135312000 has 128 divisors (see below), whose sum is σ = 448718400. Its totient is φ = 36070400.

The previous prime is 135311989. The next prime is 135312029. The reversal of 135312000 is 213531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46591 + ... + 49409.

Almost surely, 2^135312000 is an apocalyptic number.

135312000 is a gapful number since it is divisible by the number (10) 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 135312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224359200).

135312000 is an abundant number, since it is smaller than the sum of its proper divisors (313406400).

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

135312000 is an equidigital number, since it uses as much as digits as its factorization.

135312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 135312000 is about 11632.3686323981. The cubic root of 135312000 is about 513.3876743882.

Adding to 135312000 its reverse (213531), we get a palindrome (135525531).

The spelling of 135312000 in words is "one hundred thirty-five million, three hundred twelve thousand".