135754361376 has 96 divisors (see below), whose sum is σ = 358986333888. Its totient is φ = 44918277120.

The previous prime is 135754361293. The next prime is 135754361381. The reversal of 135754361376 is 673163457531.

135754361376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135754361376² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9775750 + ... + 9789626.

It is an arithmetic number, because the mean of its divisors is an integer number (3739440978).

Almost surely, 2^135754361376 is an apocalyptic number.

135754361376 is a gapful number since it is divisible by the number (16) 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 135754361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179493166944).

135754361376 is an abundant number, since it is smaller than the sum of its proper divisors (223231972512).

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

135754361376 is a wasteful number, since it uses less digits than its factorization.

135754361376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14626 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 51.

The spelling of 135754361376 in words is "one hundred thirty-five billion, seven hundred fifty-four million, three hundred sixty-one thousand, three hundred seventy-six".