135972816066978 has 128 divisors (see below), whose sum is σ = 301768943385600. Its totient is φ = 40499373358080.

The previous prime is 135972816066973. The next prime is 135972816067003. The reversal of 135972816066978 is 879660618279531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135972816066973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7689456525 + ... + 7689474207.

It is an arithmetic number, because the mean of its divisors is an integer number (2357569870200).

Almost surely, 2^{135972816066978} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135972816066978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150884471692800).

135972816066978 is an abundant number, since it is smaller than the sum of its proper divisors (165796127318622).

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

135972816066978 is a wasteful number, since it uses less digits than its factorization.

135972816066978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23184.

The product of its (nonzero) digits is 1646023680, while the sum is 78.

The spelling of 135972816066978 in words is "one hundred thirty-five trillion, nine hundred seventy-two billion, eight hundred sixteen million, sixty-six thousand, nine hundred seventy-eight".