135426240 has 168 divisors, whose sum is σ = 474299280. Its totient is φ = 35457024.

The previous prime is 135426133. The next prime is 135426241. The reversal of 135426240 is 42624531.

135426240 is a `hidden beast` number, since 1 + 35 + 4 + 2 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (135426241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169522 + ... + 170318.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^135426240 is an apocalyptic number.

135426240 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 135426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

135426240 is an abundant number, since it is smaller than the sum of its proper divisors (338873040).

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

135426240 is a wasteful number, since it uses less digits than its factorization.

135426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 135426240 is about 11637.2780322548. The cubic root of 135426240 is about 513.5321131922.

The spelling of 135426240 in words is "one hundred thirty-five million, four hundred twenty-six thousand, two hundred forty".