134768480 has 96 divisors (see below), whose sum is σ = 396990720. Its totient is φ = 42001920.

The previous prime is 134768479. The next prime is 134768483. The reversal of 134768480 is 84867431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134768483) 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, 6851 + ... + 17789.

It is an arithmetic number, because the mean of its divisors is an integer number (4135320).

Almost surely, 2^134768480 is an apocalyptic number.

134768480 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 134768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198495360).

134768480 is an abundant number, since it is smaller than the sum of its proper divisors (262222240).

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

134768480 is a wasteful number, since it uses less digits than its factorization.

134768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 134768480 is about 11608.9827289044. The cubic root of 134768480 is about 512.6993616613.

The spelling of 134768480 in words is "one hundred thirty-four million, seven hundred sixty-eight thousand, four hundred eighty".