134092800 has 288 divisors, whose sum is σ = 497624400. Its totient is φ = 35389440.

The previous prime is 134092757. The next prime is 134092807. The reversal of 134092800 is 8290431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×134092800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134092807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382352 + ... + 1382448.

Almost surely, 2^134092800 is an apocalyptic number.

134092800 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 134092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248812200).

134092800 is an abundant number, since it is smaller than the sum of its proper divisors (363531600).

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

134092800 is an equidigital number, since it uses as much as digits as its factorization.

134092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134092800 is about 11579.8445585422. The cubic root of 134092800 is about 511.8410965214.

The spelling of 134092800 in words is "one hundred thirty-four million, ninety-two thousand, eight hundred".