134628480 has 480 divisors, whose sum is σ = 569830140. Its totient is φ = 30191616.

The previous prime is 134628463. The next prime is 134628511. The reversal of 134628480 is 84826431.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 254016 = 11592^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×134628480² = 36249655254220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2540134 + ... + 2540186.

Almost surely, 2^134628480 is an apocalyptic number.

134628480 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 134628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284915070).

134628480 is an abundant number, since it is smaller than the sum of its proper divisors (435201660).

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

134628480 is an equidigital number, since it uses as much as digits as its factorization.

134628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 134628480 is about 11602.9513486871. The cubic root of 134628480 is about 512.5217662776.

The spelling of 134628480 in words is "one hundred thirty-four million, six hundred twenty-eight thousand, four hundred eighty".