135802192680 has 1440 divisors, whose sum is σ = 608924403360. Its totient is φ = 26991740160.

The previous prime is 135802192679. The next prime is 135802192681. The reversal of 135802192680 is 86291208531.

135802192680 is a `hidden beast` number, since 1 + 3 + 580 + 2 + 1 + 9 + 2 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135802192679) and next prime (135802192681).

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 (135802192681) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5904443149 + ... + 5904443171.

It is an arithmetic number, because the mean of its divisors is an integer number (422864169).

Almost surely, 2^135802192680 is an apocalyptic number.

135802192680 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 135802192680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304462201680).

135802192680 is an abundant number, since it is smaller than the sum of its proper divisors (473122210680).

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

135802192680 is an equidigital number, since it uses as much as digits as its factorization.

135802192680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 135802192680 in words is "one hundred thirty-five billion, eight hundred two million, one hundred ninety-two thousand, six hundred eighty".