135165634560 has 1728 divisors, whose sum is σ = 587264670720. Its totient is φ = 28547481600.

The previous prime is 135165634531. The next prime is 135165634567. The reversal of 135165634560 is 65436561531.

It is a happy number.

135165634560 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 6 + 5 + 634 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135165634567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4360181745 + ... + 4360181775.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 2^135165634560 is an apocalyptic number.

135165634560 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 135165634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293632335360).

135165634560 is an abundant number, since it is smaller than the sum of its proper divisors (452099036160).

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

135165634560 is a wasteful number, since it uses less digits than its factorization.

135165634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 135165634560 in words is "one hundred thirty-five billion, one hundred sixty-five million, six hundred thirty-four thousand, five hundred sixty".