134197668900 has 81 divisors (see below), whose sum is σ = 420669587793. Its totient is φ = 35783114400.

The previous prime is 134197668893. The next prime is 134197668901. The reversal of 134197668900 is 9866791431.

The square root of 134197668900 is 366330.

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

134197668900 is a `hidden beast` number, since 13 + 419 + 76 + 68 + 90 + 0 = 666.

134197668900 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48311160804 + 85886508096 = 219798^2 + 293064^2 .

It is not an unprimeable number, because it can be changed into a prime (134197668901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10983795 + ... + 10996005.

Almost surely, 2^134197668900 is an apocalyptic number.

134197668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134197668900 is the 366330-th square number.

It is an amenable number.

134197668900 is an abundant number, since it is smaller than the sum of its proper divisors (286471918893).

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

134197668900 is an equidigital number, since it uses as much as digits as its factorization.

134197668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24442 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 134197668900 in words is "one hundred thirty-four billion, one hundred ninety-seven million, six hundred sixty-eight thousand, nine hundred".