134415680 has 112 divisors (see below), whose sum is σ = 381853440. Its totient is φ = 44064768.

The previous prime is 134415679. The next prime is 134415683. The reversal of 134415680 is 86514431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134415683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50216 + ... + 52824.

Almost surely, 2^134415680 is an apocalyptic number.

134415680 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 134415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190926720).

134415680 is an abundant number, since it is smaller than the sum of its proper divisors (247437760).

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

134415680 is a wasteful number, since it uses less digits than its factorization.

134415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 134415680 is about 11593.7776414765. Note that the first 3 decimals coincide. The cubic root of 134415680 is about 512.2515853407.

The spelling of 134415680 in words is "one hundred thirty-four million, four hundred fifteen thousand, six hundred eighty".