134347200 has 168 divisors, whose sum is σ = 474896688. Its totient is φ = 33054720.

The previous prime is 134347183. The next prime is 134347217. The reversal of 134347200 is 2743431.

It is an interprime number because it is at equal distance from previous prime (134347183) and next prime (134347217).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61324 + ... + 63476.

It is an arithmetic number, because the mean of its divisors is an integer number (2826766).

Almost surely, 2^134347200 is an apocalyptic number.

134347200 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 134347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237448344).

134347200 is an abundant number, since it is smaller than the sum of its proper divisors (340549488).

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

134347200 is a wasteful number, since it uses less digits than its factorization.

134347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 134347200 is about 11590.8239569066. The cubic root of 134347200 is about 512.1645792528.

The spelling of 134347200 in words is "one hundred thirty-four million, three hundred forty-seven thousand, two hundred".