135252936 has 192 divisors, whose sum is σ = 471139200. Its totient is φ = 35634816.

The previous prime is 135252919. The next prime is 135252947. The reversal of 135252936 is 639252531.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135252936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137101 + ... + 138083.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 2^135252936 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 135252936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235569600).

135252936 is an abundant number, since it is smaller than the sum of its proper divisors (335886264).

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

135252936 is a wasteful number, since it uses less digits than its factorization.

135252936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 135252936 is about 11629.8295774272. The cubic root of 135252936 is about 513.3129652157.

It can be divided in two parts, 13525 and 2936, that added together give a palindrome (16461).

The spelling of 135252936 in words is "one hundred thirty-five million, two hundred fifty-two thousand, nine hundred thirty-six".