134437968 has 300 divisors, whose sum is σ = 474651540. Its totient is φ = 36578304.

The previous prime is 134437937. The next prime is 134437981. The reversal of 134437968 is 869734431.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 61027344 = 8568^2 + 7812^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1841580 + ... + 1841652.

Almost surely, 2^134437968 is an apocalyptic number.

134437968 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 134437968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237325770).

134437968 is an abundant number, since it is smaller than the sum of its proper divisors (340213572).

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

134437968 is a wasteful number, since it uses less digits than its factorization.

134437968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 134437968 is about 11594.7388068900. The cubic root of 134437968 is about 512.2798966021.

The spelling of 134437968 in words is "one hundred thirty-four million, four hundred thirty-seven thousand, nine hundred sixty-eight".