135321111207360 has 1680 divisors, whose sum is σ = 533921116950144. Its totient is φ = 32338740215808.

The previous prime is 135321111207353. The next prime is 135321111207487. The reversal of 135321111207360 is 63702111123531.

135321111207360 is a `hidden beast` number, since 1 + 3 + 53 + 211 + 11 + 20 + 7 + 360 = 666.

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 239 ways as a sum of consecutive naturals, for example, 101975215017 + ... + 101975216343.

Almost surely, 2^{135321111207360} is an apocalyptic number.

135321111207360 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 135321111207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266960558475072).

135321111207360 is an abundant number, since it is smaller than the sum of its proper divisors (398600005742784).

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

135321111207360 is a wasteful number, since it uses less digits than its factorization.

135321111207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 135321111207360 in words is "one hundred thirty-five trillion, three hundred twenty-one billion, one hundred eleven million, two hundred seven thousand, three hundred sixty".