134414200 has 48 divisors (see below), whose sum is σ = 313662960. Its totient is φ = 53568000.

The previous prime is 134414177. The next prime is 134414207. The reversal of 134414200 is 2414431.

134414200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134414200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134414207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61120 + ... + 63280.

It is an arithmetic number, because the mean of its divisors is an integer number (6534645).

Almost surely, 2^134414200 is an apocalyptic number.

134414200 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 134414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156831480).

134414200 is an abundant number, since it is smaller than the sum of its proper divisors (179248760).

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

134414200 is a wasteful number, since it uses less digits than its factorization.

134414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 134414200 is about 11593.7138139597. The cubic root of 134414200 is about 512.2497052646.

Adding to 134414200 its reverse (2414431), we get a palindrome (136828631).

The spelling of 134414200 in words is "one hundred thirty-four million, four hundred fourteen thousand, two hundred".