135756140 has 48 divisors (see below), whose sum is σ = 323188320. Its totient is φ = 47485440.

The previous prime is 135756139. The next prime is 135756149. The reversal of 135756140 is 41657531.

135756140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135756097 and 135756106.

It is not an unprimeable number, because it can be changed into a prime (135756149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8801 + ... + 18680.

It is an arithmetic number, because the mean of its divisors is an integer number (6733090).

Almost surely, 2^135756140 is an apocalyptic number.

135756140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135756140 is an abundant number, since it is smaller than the sum of its proper divisors (187432180).

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

135756140 is a wasteful number, since it uses less digits than its factorization.

135756140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27522 (or 27520 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 135756140 is about 11651.4436873720. The cubic root of 135756140 is about 513.9487652505.

The spelling of 135756140 in words is "one hundred thirty-five million, seven hundred fifty-six thousand, one hundred forty".