135767040 has 88 divisors (see below), whose sum is σ = 434291520. Its totient is φ = 36200448.

The previous prime is 135767033. The next prime is 135767053. The reversal of 135767040 is 40767531.

It is a junction number, because it is equal to n+sod(n) for n = 135766992 and 135767010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10941 + ... + 19779.

Almost surely, 2^135767040 is an apocalyptic number.

135767040 is a gapful number since it is divisible by the number (10) 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 135767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145760).

135767040 is an abundant number, since it is smaller than the sum of its proper divisors (298524480).

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

135767040 is an equidigital number, since it uses as much as digits as its factorization.

135767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 135767040 is about 11651.9114311773. The cubic root of 135767040 is about 513.9625200406.

The spelling of 135767040 in words is "one hundred thirty-five million, seven hundred sixty-seven thousand, forty".