134688600 has 72 divisors (see below), whose sum is σ = 452335260. Its totient is φ = 35916480.

The previous prime is 134688581. The next prime is 134688607. The reversal of 134688600 is 6886431.

It is a happy number.

134688600 is a `hidden beast` number, since 1 + 3 + 46 + 8 + 8 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134688607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35614 + ... + 39213.

Almost surely, 2^134688600 is an apocalyptic number.

134688600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134688600 is an abundant number, since it is smaller than the sum of its proper divisors (317646660).

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

134688600 is a wasteful number, since it uses less digits than its factorization.

134688600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74849 (or 74837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 134688600 is about 11605.5417796844. The cubic root of 134688600 is about 512.5980458858.

The spelling of 134688600 in words is "one hundred thirty-four million, six hundred eighty-eight thousand, six hundred".