134328100 has 81 divisors (see below), whose sum is σ = 312767091. Its totient is φ = 50068800.

The previous prime is 134328097. The next prime is 134328127. The reversal of 134328100 is 1823431.

The square root of 134328100 is 11590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 72454144 = 7866^2 + 8512^2 .

It is a super-2 number, since 2×134328100² = 36088076899220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2202070 + ... + 2202130.

Almost surely, 2^134328100 is an apocalyptic number.

134328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134328100 is the 11590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134328100

134328100 is an abundant number, since it is smaller than the sum of its proper divisors (178438991).

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

134328100 is a wasteful number, since it uses less digits than its factorization.

134328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 134328100 is about 512.1403068028.

Multiplying 134328100 by its product of nonzero digits (576), we get a square (77372985600 = 278160²).

The spelling of 134328100 in words is "one hundred thirty-four million, three hundred twenty-eight thousand, one hundred".