133544134100 has 576 divisors, whose sum is σ = 361281876480. Its totient is φ = 42334617600.

The previous prime is 133544134081. The next prime is 133544134111. The reversal of 133544134100 is 1431445331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1829371664 + ... + 1829371736.

It is an arithmetic number, because the mean of its divisors is an integer number (627225480).

Almost surely, 2^133544134100 is an apocalyptic number.

133544134100 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 133544134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180640938240).

133544134100 is an abundant number, since it is smaller than the sum of its proper divisors (227737742380).

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

133544134100 is a wasteful number, since it uses less digits than its factorization.

133544134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 133544134100 its reverse (1431445331), we get a palindrome (134975579431).

The spelling of 133544134100 in words is "one hundred thirty-three billion, five hundred forty-four million, one hundred thirty-four thousand, one hundred".