134288413212672 has 360 divisors, whose sum is σ = 407300009516400. Its totient is φ = 42574105018368.

The previous prime is 134288413212649. The next prime is 134288413212697. The reversal of 134288413212672 is 276212314882431.

134288413212672 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 8 + 413 + 212 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286272654 + ... + 286741362.

Almost surely, 2^{134288413212672} is an apocalyptic number.

134288413212672 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 134288413212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203650004758200).

134288413212672 is an abundant number, since it is smaller than the sum of its proper divisors (273011596303728).

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

134288413212672 is an equidigital number, since it uses as much as digits as its factorization.

134288413212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468839 (or 468810 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 134288413212672 in words is "one hundred thirty-four trillion, two hundred eighty-eight billion, four hundred thirteen million, two hundred twelve thousand, six hundred seventy-two".