134407680 has 320 divisors, whose sum is σ = 492611328. Its totient is φ = 30965760.

The previous prime is 134407619. The next prime is 134407697. The reversal of 134407680 is 86704431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125739 + ... + 3125781.

Almost surely, 2^134407680 is an apocalyptic number.

134407680 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 134407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246305664).

134407680 is an abundant number, since it is smaller than the sum of its proper divisors (358203648).

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

134407680 is a wasteful number, since it uses less digits than its factorization.

134407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 134407680 is about 11593.4326236883. The cubic root of 134407680 is about 512.2414226028.

The spelling of 134407680 in words is "one hundred thirty-four million, four hundred seven thousand, six hundred eighty".