135201346560 has 704 divisors, whose sum is σ = 566960701440. Its totient is φ = 29899653120.

The previous prime is 135201346541. The next prime is 135201346583. The reversal of 135201346560 is 65643102531.

135201346560 is a `hidden beast` number, since 1 + 3 + 52 + 0 + 1 + 3 + 46 + 560 = 666.

It is a super-2 number, since 2×135201346560² (a number of 23 digits) contains 22 as substring.

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

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, 29995827 + ... + 30000333.

Almost surely, 2^135201346560 is an apocalyptic number.

135201346560 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 135201346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283480350720).

135201346560 is an abundant number, since it is smaller than the sum of its proper divisors (431759354880).

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

135201346560 is a wasteful number, since it uses less digits than its factorization.

135201346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135201346560 in words is "one hundred thirty-five billion, two hundred one million, three hundred forty-six thousand, five hundred sixty".