134662131072 has 1024 divisors, whose sum is σ = 504859852800. Its totient is φ = 34488115200.

The previous prime is 134662131067. The next prime is 134662131101. The reversal of 134662131072 is 270131266431.

134662131072 is a `hidden beast` number, since 13 + 4 + 6 + 621 + 3 + 10 + 7 + 2 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 638209047 + ... + 638209257.

It is an arithmetic number, because the mean of its divisors is an integer number (493027200).

Almost surely, 2^134662131072 is an apocalyptic number.

134662131072 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 134662131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252429926400).

134662131072 is an abundant number, since it is smaller than the sum of its proper divisors (370197721728).

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

134662131072 is a wasteful number, since it uses less digits than its factorization.

134662131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 134662131072 in words is "one hundred thirty-four billion, six hundred sixty-two million, one hundred thirty-one thousand, seventy-two".