135257052 has 72 divisors (see below), whose sum is σ = 377109264. Its totient is φ = 37594368.

The previous prime is 135257051. The next prime is 135257053. The reversal of 135257052 is 250752531.

It is an interprime number because it is at equal distance from previous prime (135257051) and next prime (135257053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135257051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18648 + ... + 24864.

Almost surely, 2^135257052 is an apocalyptic number.

135257052 is a gapful number since it is divisible by the number (12) 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 135257052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188554632).

135257052 is an abundant number, since it is smaller than the sum of its proper divisors (241852212).

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

135257052 is a wasteful number, since it uses less digits than its factorization.

135257052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 135257052 is about 11630.0065348219. The cubic root of 135257052 is about 513.3181721877.

The spelling of 135257052 in words is "one hundred thirty-five million, two hundred fifty-seven thousand, fifty-two".