134217600 has 384 divisors, whose sum is σ = 509967360. Its totient is φ = 30720000.

The previous prime is 134217593. The next prime is 134217613. The reversal of 134217600 is 6712431.

134217600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

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, 3273580 + ... + 3273620.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^134217600 is an apocalyptic number.

134217600 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 134217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

134217600 is an abundant number, since it is smaller than the sum of its proper divisors (375749760).

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

134217600 is a wasteful number, since it uses less digits than its factorization.

134217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 134217600 is about 11585.2319786873. The cubic root of 134217600 is about 511.9998372395. Note that the first 3 decimals are identical.

The spelling of 134217600 in words is "one hundred thirty-four million, two hundred seventeen thousand, six hundred".