135052152 has 64 divisors (see below), whose sum is σ = 356832000. Its totient is φ = 42476544.

The previous prime is 135052129. The next prime is 135052157. The reversal of 135052152 is 251250531.

It is a happy number.

It is a super-2 number, since 2×135052152² = 36478167519662208, which contains 22 as substring.

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 (135052157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160549 + ... + 161387.

It is an arithmetic number, because the mean of its divisors is an integer number (5575500).

Almost surely, 2^135052152 is an apocalyptic number.

135052152 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 135052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178416000).

135052152 is an abundant number, since it is smaller than the sum of its proper divisors (221779848).

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

135052152 is a wasteful number, since it uses less digits than its factorization.

135052152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

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

The square root of 135052152 is about 11621.1940866677. The cubic root of 135052152 is about 513.0588337693.

The spelling of 135052152 in words is "one hundred thirty-five million, fifty-two thousand, one hundred fifty-two".