135052512 has 48 divisors (see below), whose sum is σ = 405159552. Its totient is φ = 38586240.

The previous prime is 135052501. The next prime is 135052517. The reversal of 135052512 is 215250531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135052517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99814 + ... + 101157.

It is an arithmetic number, because the mean of its divisors is an integer number (8440824).

Almost surely, 2^135052512 is an apocalyptic number.

135052512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135052512 is an abundant number, since it is smaller than the sum of its proper divisors (270107040).

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

135052512 is a wasteful number, since it uses less digits than its factorization.

135052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200991 (or 200983 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135052512 is about 11621.2095755993. The cubic root of 135052512 is about 513.0592896451.

The spelling of 135052512 in words is "one hundred thirty-five million, fifty-two thousand, five hundred twelve".