135724140 has 96 divisors (see below), whose sum is σ = 433728960. Its totient is φ = 35209728.

The previous prime is 135724129. The next prime is 135724153. The reversal of 135724140 is 41427531.

135724140 is a `hidden beast` number, since 13 + 572 + 41 + 40 = 666.

135724140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16584 + ... + 23376.

It is an arithmetic number, because the mean of its divisors is an integer number (4518010).

Almost surely, 2^135724140 is an apocalyptic number.

135724140 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 135724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216864480).

135724140 is an abundant number, since it is smaller than the sum of its proper divisors (298004820).

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

135724140 is a wasteful number, since it uses less digits than its factorization.

135724140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 135724140 is about 11650.0703860535. The cubic root of 135724140 is about 513.9083799614.

The spelling of 135724140 in words is "one hundred thirty-five million, seven hundred twenty-four thousand, one hundred forty".