134102102688 has 192 divisors, whose sum is σ = 397852560000. Its totient is φ = 43938865152.

The previous prime is 134102102627. The next prime is 134102102753. The reversal of 134102102688 is 886201201431.

134102102688 is a `hidden beast` number, since 1 + 3 + 410 + 210 + 26 + 8 + 8 = 666.

134102102688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 12482023 + ... + 12492761.

It is an arithmetic number, because the mean of its divisors is an integer number (2072148750).

Almost surely, 2^134102102688 is an apocalyptic number.

134102102688 is a gapful number since it is divisible by the number (18) 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 134102102688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198926280000).

134102102688 is an abundant number, since it is smaller than the sum of its proper divisors (263750457312).

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

134102102688 is a wasteful number, since it uses less digits than its factorization.

134102102688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 134102102688 in words is "one hundred thirty-four billion, one hundred two million, one hundred two thousand, six hundred eighty-eight".