134412638976 has 648 divisors, whose sum is σ = 505061869312. Its totient is φ = 34898688000.

The previous prime is 134412638953. The next prime is 134412639013. The reversal of 134412638976 is 679836214431.

134412638976 is a `hidden beast` number, since 134 + 4 + 126 + 389 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52688901 + ... + 52691451.

Almost surely, 2^134412638976 is an apocalyptic number.

134412638976 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 134412638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252530934656).

134412638976 is an abundant number, since it is smaller than the sum of its proper divisors (370649230336).

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

134412638976 is an equidigital number, since it uses as much as digits as its factorization.

134412638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2574 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 134412638976 in words is "one hundred thirty-four billion, four hundred twelve million, six hundred thirty-eight thousand, nine hundred seventy-six".