134894880 has 144 divisors (see below), whose sum is σ = 464962680. Its totient is φ = 35610624.

The previous prime is 134894873. The next prime is 134894899. The reversal of 134894880 is 88498431.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 62916624 = 8484^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×134894880⁵ (a number of 42 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162306 + ... + 163134.

Almost surely, 2^134894880 is an apocalyptic number.

134894880 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 134894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232481340).

134894880 is an abundant number, since it is smaller than the sum of its proper divisors (330067800).

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

134894880 is a wasteful number, since it uses less digits than its factorization.

134894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 134894880 is about 11614.4255131281. The cubic root of 134894880 is about 512.8595993011.

The spelling of 134894880 in words is "one hundred thirty-four million, eight hundred ninety-four thousand, eight hundred eighty".