135570240 has 448 divisors, whose sum is σ = 553029120. Its totient is φ = 30965760.

The previous prime is 135570217. The next prime is 135570251. The reversal of 135570240 is 42075531.

It is a happy number.

135570240 is a `hidden beast` number, since 1 + 355 + 70 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909405 + ... + 1909475.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^135570240 is an apocalyptic number.

135570240 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 135570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

135570240 is an abundant number, since it is smaller than the sum of its proper divisors (417458880).

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

135570240 is a wasteful number, since it uses less digits than its factorization.

135570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135570240 is about 11643.4634022700. The cubic root of 135570240 is about 513.7140632330.

The spelling of 135570240 in words is "one hundred thirty-five million, five hundred seventy thousand, two hundred forty".