133027972900 has 27 divisors (see below), whose sum is σ = 288678616051. Its totient is φ = 53209730240.

The previous prime is 133027972873. The next prime is 133027972939. The reversal of 133027972900 is 9279720331.

The square root of 133027972900 is 364730.

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 8509324516 + 124518648384 = 92246^2 + 352872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3629064 + ... + 3665536.

Almost surely, 2^133027972900 is an apocalyptic number.

133027972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133027972900 is the 364730-th square number.

It is an amenable number.

133027972900 is an abundant number, since it is smaller than the sum of its proper divisors (155650643151).

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

133027972900 is an frugal number, since it uses more digits than its factorization.

133027972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72960 (or 36480 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The spelling of 133027972900 in words is "one hundred thirty-three billion, twenty-seven million, nine hundred seventy-two thousand, nine hundred".