135188352 has 320 divisors, whose sum is σ = 466527600. Its totient is φ = 38486016.

The previous prime is 135188327. The next prime is 135188377. The reversal of 135188352 is 253881531.

135188352 is a `hidden beast` number, since 13 + 518 + 83 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (135188327) and next prime (135188377).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2291299 + ... + 2291357.

Almost surely, 2^135188352 is an apocalyptic number.

135188352 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 135188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

135188352 is an abundant number, since it is smaller than the sum of its proper divisors (331339248).

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

135188352 is a wasteful number, since it uses less digits than its factorization.

135188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 135188352 is about 11627.0525929833. The cubic root of 135188352 is about 513.2312489793.

The spelling of 135188352 in words is "one hundred thirty-five million, one hundred eighty-eight thousand, three hundred fifty-two".