134509200 has 240 divisors, whose sum is σ = 501872640. Its totient is φ = 30159360.

The previous prime is 134509187. The next prime is 134509223. The reversal of 134509200 is 2905431.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562681 + ... + 562919.

It is an arithmetic number, because the mean of its divisors is an integer number (2091136).

Almost surely, 2^134509200 is an apocalyptic number.

134509200 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 134509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

134509200 is an abundant number, since it is smaller than the sum of its proper divisors (367363440).

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

134509200 is a wasteful number, since it uses less digits than its factorization.

134509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 134509200 is about 11597.8101381252. The cubic root of 134509200 is about 512.3703578489.

The spelling of 134509200 in words is "one hundred thirty-four million, five hundred nine thousand, two hundred".