134152200 has 540 divisors, whose sum is σ = 586900215. Its totient is φ = 28304640.

The previous prime is 134152199. The next prime is 134152223. The reversal of 134152200 is 2251431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8398404 + 125753796 = 2898^2 + 11214^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8190.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10319394 + ... + 10319406.

Almost surely, 2^134152200 is an apocalyptic number.

134152200 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 134152200

134152200 is an abundant number, since it is smaller than the sum of its proper divisors (452748015).

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

134152200 is a wasteful number, since it uses less digits than its factorization.

134152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134152200 is about 11582.4090758356. The cubic root of 134152200 is about 511.9166632755.

Multiplying 134152200 by its sum of digits (18), we get a square (2414739600 = 49140²).

134152200 divided by its sum of digits (18) gives a square (7452900 = 2730²).

The spelling of 134152200 in words is "one hundred thirty-four million, one hundred fifty-two thousand, two hundred".