135677483844280 has 384 divisors, whose sum is σ = 369610136501760. Its totient is φ = 44660246400000.

The previous prime is 135677483844263. The next prime is 135677483844313. The reversal of 135677483844280 is 82448384776531.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1980630030 + ... + 1980698530.

It is an arithmetic number, because the mean of its divisors is an integer number (962526397140).

Almost surely, 2^{135677483844280} is an apocalyptic number.

135677483844280 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 135677483844280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184805068250880).

135677483844280 is an abundant number, since it is smaller than the sum of its proper divisors (233932652657480).

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

135677483844280 is a wasteful number, since it uses less digits than its factorization.

135677483844280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68971 (or 68960 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 70.

The spelling of 135677483844280 in words is "one hundred thirty-five trillion, six hundred seventy-seven billion, four hundred eighty-three million, eight hundred forty-four thousand, two hundred eighty".