134956200 has 192 divisors, whose sum is σ = 450774720. Its totient is φ = 33280000.

The previous prime is 134956177. The next prime is 134956201. The reversal of 134956200 is 2659431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134956201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030135 + ... + 1030265.

It is an arithmetic number, because the mean of its divisors is an integer number (2347785).

Almost surely, 2^134956200 is an apocalyptic number.

134956200 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 134956200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225387360).

134956200 is an abundant number, since it is smaller than the sum of its proper divisors (315818520).

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

134956200 is a wasteful number, since it uses less digits than its factorization.

134956200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 134956200 is about 11617.0650338199. The cubic root of 134956200 is about 512.9372987823.

The spelling of 134956200 in words is "one hundred thirty-four million, nine hundred fifty-six thousand, two hundred".