135863224560 has 960 divisors, whose sum is σ = 572171378688. Its totient is φ = 29290263552.

The previous prime is 135863224531. The next prime is 135863224561. The reversal of 135863224560 is 65422368531.

135863224560 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 63 + 2 + 24 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135863224561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259776459 + ... + 259776981.

Almost surely, 2^135863224560 is an apocalyptic number.

135863224560 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 135863224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286085689344).

135863224560 is an abundant number, since it is smaller than the sum of its proper divisors (436308154128).

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

135863224560 is a wasteful number, since it uses less digits than its factorization.

135863224560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 135863224560 in words is "one hundred thirty-five billion, eight hundred sixty-three million, two hundred twenty-four thousand, five hundred sixty".