134445600 has 216 divisors, whose sum is σ = 482594112. Its totient is φ = 35212800.

The previous prime is 134445599. The next prime is 134445697. The reversal of 134445600 is 6544431.

134445600 is a `hidden beast` number, since 13 + 4 + 4 + 45 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511069 + ... + 511331.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^134445600 is an apocalyptic number.

134445600 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 134445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

134445600 is an abundant number, since it is smaller than the sum of its proper divisors (348148512).

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

134445600 is a wasteful number, since it uses less digits than its factorization.

134445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 134445600 is about 11595.0679170068. The cubic root of 134445600 is about 512.2895904067.

It can be divided in two parts, 13444 and 5600, that added together give a square (19044 = 138²).

The spelling of 134445600 in words is "one hundred thirty-four million, four hundred forty-five thousand, six hundred".