135301846680 has 1536 divisors, whose sum is σ = 621569894400. Its totient is φ = 24822927360.

The previous prime is 135301846663. The next prime is 135301846699. The reversal of 135301846680 is 86648103531.

135301846680 is a `hidden beast` number, since 1 + 3 + 530 + 18 + 46 + 68 + 0 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1264503187 + ... + 1264503293.

It is an arithmetic number, because the mean of its divisors is an integer number (404667900).

Almost surely, 2^135301846680 is an apocalyptic number.

135301846680 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 135301846680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310784947200).

135301846680 is an abundant number, since it is smaller than the sum of its proper divisors (486268047720).

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

135301846680 is a wasteful number, since it uses less digits than its factorization.

135301846680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 135301846680 in words is "one hundred thirty-five billion, three hundred one million, eight hundred forty-six thousand, six hundred eighty".