135361728 has 42 divisors (see below), whose sum is σ = 387991604. Its totient is φ = 45120384.

The previous prime is 135361727. The next prime is 135361729. The reversal of 135361728 is 827163531.

135361728 is a `hidden beast` number, since 1 + 35 + 3 + 617 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135361727) and next prime (135361729).

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

It is a junction number, because it is equal to n+sod(n) for n = 135361692 and 135361701.

It is not an unprimeable number, because it can be changed into a prime (135361727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116926 + ... + 118077.

Almost surely, 2^135361728 is an apocalyptic number.

135361728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135361728 is an abundant number, since it is smaller than the sum of its proper divisors (252629876).

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

135361728 is a wasteful number, since it uses less digits than its factorization.

135361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235021 (or 235008 counting only the distinct ones).

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

The square root of 135361728 is about 11634.5059198919. The cubic root of 135361728 is about 513.4505577380.

The spelling of 135361728 in words is "one hundred thirty-five million, three hundred sixty-one thousand, seven hundred twenty-eight".