134920800 has 216 divisors, whose sum is σ = 543933936. Its totient is φ = 30827520.

The previous prime is 134920771. The next prime is 134920801. The reversal of 134920800 is 8029431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134920801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49062 + ... + 51738.

Almost surely, 2^134920800 is an apocalyptic number.

134920800 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 134920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271966968).

134920800 is an abundant number, since it is smaller than the sum of its proper divisors (409013136).

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

134920800 is a wasteful number, since it uses less digits than its factorization.

134920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134920800 is about 11615.5413132579. The cubic root of 134920800 is about 512.8924457899.

The spelling of 134920800 in words is "one hundred thirty-four million, nine hundred twenty thousand, eight hundred".