134856300 has 144 divisors (see below), whose sum is σ = 418723200. Its totient is φ = 33408000.

The previous prime is 134856289. The next prime is 134856307. The reversal of 134856300 is 3658431.

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

It is not an unprimeable number, because it can be changed into a prime (134856307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336100 + ... + 336500.

It is an arithmetic number, because the mean of its divisors is an integer number (2907800).

Almost surely, 2^134856300 is an apocalyptic number.

134856300 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 134856300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209361600).

134856300 is an abundant number, since it is smaller than the sum of its proper divisors (283866900).

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

134856300 is a wasteful number, since it uses less digits than its factorization.

134856300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 134856300 is about 11612.7645287416. The cubic root of 134856300 is about 512.8107019426.

The spelling of 134856300 in words is "one hundred thirty-four million, eight hundred fifty-six thousand, three hundred".