135466324560 has 400 divisors, whose sum is σ = 538333437312. Its totient is φ = 30927744000.

The previous prime is 135466324529. The next prime is 135466324561. The reversal of 135466324560 is 65423664531.

135466324560 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 6 + 63 + 24 + 560 = 666.

135466324560 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135466324560² (a number of 23 digits) contains 22 as substring.

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 (135466324561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71259610 + ... + 71261510.

Almost surely, 2^135466324560 is an apocalyptic number.

135466324560 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 135466324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269166718656).

135466324560 is an abundant number, since it is smaller than the sum of its proper divisors (402867112752).

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

135466324560 is a wasteful number, since it uses less digits than its factorization.

135466324560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 135466324560 in words is "one hundred thirty-five billion, four hundred sixty-six million, three hundred twenty-four thousand, five hundred sixty".