134008800 has 72 divisors (see below), whose sum is σ = 436206456. Its totient is φ = 35735040.

The previous prime is 134008747. The next prime is 134008817. The reversal of 134008800 is 8800431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25519 + ... + 30318.

It is an arithmetic number, because the mean of its divisors is an integer number (6058423).

Almost surely, 2^134008800 is an apocalyptic number.

134008800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134008800 is an abundant number, since it is smaller than the sum of its proper divisors (302197656).

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

134008800 is a wasteful number, since it uses less digits than its factorization.

134008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55860 (or 55847 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 134008800 is about 11576.2169986572. The cubic root of 134008800 is about 511.7341963424.

The spelling of 134008800 in words is "one hundred thirty-four million, eight thousand, eight hundred".