135645291360 has 768 divisors, whose sum is σ = 517321728000. Its totient is φ = 33110138880.

The previous prime is 135645291343. The next prime is 135645291407. The reversal of 135645291360 is 63192546531.

135645291360 is a `hidden beast` number, since 1 + 3 + 5 + 64 + 529 + 1 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205834711 + ... + 205835369.

It is an arithmetic number, because the mean of its divisors is an integer number (673596000).

Almost surely, 2^135645291360 is an apocalyptic number.

135645291360 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 135645291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258660864000).

135645291360 is an abundant number, since it is smaller than the sum of its proper divisors (381676436640).

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

135645291360 is a wasteful number, since it uses less digits than its factorization.

135645291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135645291360 in words is "one hundred thirty-five billion, six hundred forty-five million, two hundred ninety-one thousand, three hundred sixty".