135545837277312 has 1536 divisors, whose sum is σ = 537995001600000. Its totient is φ = 33128586731520.

The previous prime is 135545837277203. The next prime is 135545837277353. The reversal of 135545837277312 is 213772738545531.

135545837277312 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 45 + 8 + 3 + 7 + 277 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 135545837277312.

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 191 ways as a sum of consecutive naturals, for example, 5273528653 + ... + 5273554355.

It is an arithmetic number, because the mean of its divisors is an integer number (350257162500).

Almost surely, 2^{135545837277312} is an apocalyptic number.

135545837277312 is a gapful number since it is divisible by the number (12) 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 135545837277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268997500800000).

135545837277312 is an abundant number, since it is smaller than the sum of its proper divisors (402449164322688).

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

135545837277312 is a wasteful number, since it uses less digits than its factorization.

135545837277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25919 (or 25894 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 135545837277312 in words is "one hundred thirty-five trillion, five hundred forty-five billion, eight hundred thirty-seven million, two hundred seventy-seven thousand, three hundred twelve".