134354126892960 has 864 divisors, whose sum is σ = 529913428258032. Its totient is φ = 30805375057920.

The previous prime is 134354126892883. The next prime is 134354126892971. The reversal of 134354126892960 is 69298621453431.

It is a happy number.

134354126892960 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 541 + 2 + 6 + 8 + 9 + 29 + 60 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2488682933136 + 131865443959824 = 1577556^2 + 11483268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 524649750 + ... + 524905770.

Almost surely, 2^{134354126892960} is an apocalyptic number.

134354126892960 is a gapful number since it is divisible by the number (10) 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 134354126892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264956714129016).

134354126892960 is an abundant number, since it is smaller than the sum of its proper divisors (395559301365072).

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

134354126892960 is a wasteful number, since it uses less digits than its factorization.

134354126892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256186 (or 256158 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 134354126892960 in words is "one hundred thirty-four trillion, three hundred fifty-four billion, one hundred twenty-six million, eight hundred ninety-two thousand, nine hundred sixty".