135752112 has 200 divisors, whose sum is σ = 427614000. Its totient is φ = 41430528.

The previous prime is 135752101. The next prime is 135752119. The reversal of 135752112 is 211257531.

135752112 is a `hidden beast` number, since 135 + 7 + 521 + 1 + 2 = 666.

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

Its product of digits (2100) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (135752119) 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, 911014 + ... + 911162.

It is an arithmetic number, because the mean of its divisors is an integer number (2138070).

Almost surely, 2^135752112 is an apocalyptic number.

135752112 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 135752112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213807000).

135752112 is an abundant number, since it is smaller than the sum of its proper divisors (291861888).

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

135752112 is a wasteful number, since it uses less digits than its factorization.

135752112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 135752112 is about 11651.2708319737. The cubic root of 135752112 is about 513.9436821014.

The spelling of 135752112 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, one hundred twelve".