135382752 has 120 divisors (see below), whose sum is σ = 419265000. Its totient is φ = 42736896.

The previous prime is 135382727. The next prime is 135382763. The reversal of 135382752 is 257283531.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47874 + ... + 50622.

It is an arithmetic number, because the mean of its divisors is an integer number (3493875).

Almost surely, 2^135382752 is an apocalyptic number.

135382752 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 135382752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209632500).

135382752 is an abundant number, since it is smaller than the sum of its proper divisors (283882248).

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

135382752 is a wasteful number, since it uses less digits than its factorization.

135382752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2773 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135382752 is about 11635.4094040562. The cubic root of 135382752 is about 513.4771389237.

It can be divided in two parts, 13538 and 2752, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 135382752 in words is "one hundred thirty-five million, three hundred eighty-two thousand, seven hundred fifty-two".