133560047100 has 144 divisors (see below), whose sum is σ = 388181154816. Its totient is φ = 35455392000.

The previous prime is 133560047099. The next prime is 133560047129. The reversal of 133560047100 is 1740065331.

It is a super-3 number, since 3×133560047100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81587482 + ... + 81589118.

It is an arithmetic number, because the mean of its divisors is an integer number (2695702464).

Almost surely, 2^133560047100 is an apocalyptic number.

133560047100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133560047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194090577408).

133560047100 is an abundant number, since it is smaller than the sum of its proper divisors (254621107716).

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

133560047100 is a wasteful number, since it uses less digits than its factorization.

133560047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 133560047100 in words is "one hundred thirty-three billion, five hundred sixty million, forty-seven thousand, one hundred".