133363736100 has 729 divisors, whose sum is σ = 510626792403. Its totient is φ = 29028222720.

The previous prime is 133363736017. The next prime is 133363736123. The reversal of 133363736100 is 1637363331.

The square root of 133363736100 is 365190.

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

133363736100 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 37 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12660300324 + 120703435776 = 112518^2 + 347424^2 .

It is a super-2 number, since 2×133363736100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2837526277 + ... + 2837526323.

Almost surely, 2^133363736100 is an apocalyptic number.

133363736100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133363736100 is the 365190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133363736100

133363736100 is an abundant number, since it is smaller than the sum of its proper divisors (377263056303).

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

133363736100 is a wasteful number, since it uses less digits than its factorization.

133363736100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

Multiplying 133363736100 by its sum of digits (36), we get a square (4801094499600 = 2191140²).

133363736100 divided by its sum of digits (36) gives a square (3704548225 = 60865²).

The spelling of 133363736100 in words is "one hundred thirty-three billion, three hundred sixty-three million, seven hundred thirty-six thousand, one hundred".