135261252 has 120 divisors (see below), whose sum is σ = 421846656. Its totient is φ = 36951552.

The previous prime is 135261251. The next prime is 135261257. The reversal of 135261252 is 252162531.

It is a happy number.

135261252 is a `hidden beast` number, since 1 + 352 + 61 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135261251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50868 + ... + 53460.

Almost surely, 2^135261252 is an apocalyptic number.

135261252 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 135261252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210923328).

135261252 is an abundant number, since it is smaller than the sum of its proper divisors (286585404).

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

135261252 is a wasteful number, since it uses less digits than its factorization.

135261252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2628 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 135261252 is about 11630.1871008166. The cubic root of 135261252 is about 513.3234853155.

The spelling of 135261252 in words is "one hundred thirty-five million, two hundred sixty-one thousand, two hundred fifty-two".