134097600 has 336 divisors, whose sum is σ = 543243008. Its totient is φ = 28200960.

The previous prime is 134097589. The next prime is 134097617. The reversal of 134097600 is 6790431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 436647 + ... + 436953.

Almost surely, 2^134097600 is an apocalyptic number.

134097600 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 134097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271621504).

134097600 is an abundant number, since it is smaller than the sum of its proper divisors (409145408).

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

134097600 is a wasteful number, since it uses less digits than its factorization.

134097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 134097600 is about 11580.0518133556. The cubic root of 134097600 is about 511.8472037545.

The spelling of 134097600 in words is "one hundred thirty-four million, ninety-seven thousand, six hundred".