135687312 has 70 divisors (see below), whose sum is σ = 394194822. Its totient is φ = 45225216.

The previous prime is 135687289. The next prime is 135687323. The reversal of 135687312 is 213786531.

135687312 is a `hidden beast` number, since 13 + 568 + 73 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123743376 + 11943936 = 11124^2 + 3456^2 .

It is a super-2 number, since 2×135687312² = 36822093275570688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5848 + ... + 17480.

Almost surely, 2^135687312 is an apocalyptic number.

135687312 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 135687312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197097411).

135687312 is an abundant number, since it is smaller than the sum of its proper divisors (258507510).

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

135687312 is an equidigital number, since it uses as much as digits as its factorization.

135687312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11659 (or 11638 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135687312 is about 11648.4896875088. The cubic root of 135687312 is about 513.8618936844.

The spelling of 135687312 in words is "one hundred thirty-five million, six hundred eighty-seven thousand, three hundred twelve".