135702864 has 240 divisors, whose sum is σ = 454970880. Its totient is φ = 38724480.

The previous prime is 135702863. The next prime is 135702869. The reversal of 135702864 is 468207531.

135702864 is a `hidden beast` number, since 1 + 3 + 570 + 2 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135702863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812509 + ... + 812675.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^135702864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135702864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

135702864 is an abundant number, since it is smaller than the sum of its proper divisors (319268016).

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

135702864 is a wasteful number, since it uses less digits than its factorization.

135702864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135702864 is about 11649.1572227350. The cubic root of 135702864 is about 513.8815252789.

The spelling of 135702864 in words is "one hundred thirty-five million, seven hundred two thousand, eight hundred sixty-four".