135580870656 has 576 divisors, whose sum is σ = 509778360000. Its totient is φ = 35208069120.

The previous prime is 135580870609. The next prime is 135580870693. The reversal of 135580870656 is 656078085531.

135580870656 is a `hidden beast` number, since 1 + 3 + 5 + 580 + 8 + 7 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29802270 + ... + 29806818.

It is an arithmetic number, because the mean of its divisors is an integer number (885031875).

Almost surely, 2^135580870656 is an apocalyptic number.

135580870656 is a gapful number since it is divisible by the number (16) 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 135580870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254889180000).

135580870656 is an abundant number, since it is smaller than the sum of its proper divisors (374197489344).

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

135580870656 is a wasteful number, since it uses less digits than its factorization.

135580870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 135580870656 in words is "one hundred thirty-five billion, five hundred eighty million, eight hundred seventy thousand, six hundred fifty-six".