135076876704 has 432 divisors, whose sum is σ = 485748192384. Its totient is φ = 34851548160.

The previous prime is 135076876703. The next prime is 135076876721. The reversal of 135076876704 is 407678670531.

135076876704 is a `hidden beast` number, since 1 + 3 + 507 + 68 + 7 + 6 + 70 + 4 = 666.

It is a super-3 number, since 3×135076876704³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135076876703) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 38296189 + ... + 38299715.

It is an arithmetic number, because the mean of its divisors is an integer number (1124417112).

Almost surely, 2^135076876704 is an apocalyptic number.

135076876704 is a gapful number since it is divisible by the number (14) 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 135076876704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242874096192).

135076876704 is an abundant number, since it is smaller than the sum of its proper divisors (350671315680).

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

135076876704 is a wasteful number, since it uses less digits than its factorization.

135076876704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 135076876704 in words is "one hundred thirty-five billion, seventy-six million, eight hundred seventy-six thousand, seven hundred four".