135399936 has 160 divisors (see below), whose sum is σ = 422294400. Its totient is φ = 38535168.

The previous prime is 135399899. The next prime is 135399937. The reversal of 135399936 is 639993531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135399937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526720 + ... + 526976.

It is an arithmetic number, because the mean of its divisors is an integer number (2639340).

Almost surely, 2^135399936 is an apocalyptic number.

135399936 is a gapful number since it is divisible by the number (16) 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 135399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211147200).

135399936 is an abundant number, since it is smaller than the sum of its proper divisors (286894464).

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

135399936 is an frugal number, since it uses more digits than its factorization.

135399936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its digits is 590490, while the sum is 48.

The square root of 135399936 is about 11636.1478161804. The cubic root of 135399936 is about 513.4988630546.

The spelling of 135399936 in words is "one hundred thirty-five million, three hundred ninety-nine thousand, nine hundred thirty-six".