133597560100 has 27 divisors (see below), whose sum is σ = 289914637201. Its totient is φ = 53437562000.

The previous prime is 133597560071. The next prime is 133597560137. The reversal of 133597560100 is 1065795331.

It is a happy number.

The square root of 133597560100 is 365510.

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

It can be written as a sum of positive squares in only one way, i.e., 48095121636 + 85502438464 = 219306^2 + 292408^2 .

It is a super-2 number, since 2×133597560100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3636825 + ... + 3673375.

Almost surely, 2^133597560100 is an apocalyptic number.

133597560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133597560100 is the 365510-th square number.

It is an amenable number.

133597560100 is an abundant number, since it is smaller than the sum of its proper divisors (156317077101).

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

133597560100 is an frugal number, since it uses more digits than its factorization.

133597560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73116 (or 36558 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 40.

The spelling of 133597560100 in words is "one hundred thirty-three billion, five hundred ninety-seven million, five hundred sixty thousand, one hundred".