133948680100 has 27 divisors (see below), whose sum is σ = 290676578017. Its totient is φ = 53578008080.

The previous prime is 133948680083. The next prime is 133948680101. The reversal of 133948680100 is 1086849331.

The square root of 133948680100 is 365990.

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

133948680100 is digitally balanced in base 3, 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., 48221524836 + 85727155264 = 219594^2 + 292792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133948680101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3641601 + ... + 3678199.

Almost surely, 2^133948680100 is an apocalyptic number.

133948680100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133948680100 is the 365990-th square number.

It is an amenable number.

133948680100 is an abundant number, since it is smaller than the sum of its proper divisors (156727897917).

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

133948680100 is an frugal number, since it uses more digits than its factorization.

133948680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73212 (or 36606 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 133948680100 in words is "one hundred thirty-three billion, nine hundred forty-eight million, six hundred eighty thousand, one hundred".