133557953760 has 768 divisors, whose sum is σ = 586878566400. Its totient is φ = 27558144000.

The previous prime is 133557953743. The next prime is 133557953761. The reversal of 133557953760 is 67359755331.

133557953760 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 579 + 5 + 3 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133557953697 and 133557953706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133557953761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 50227311 + ... + 50229969.

It is an arithmetic number, because the mean of its divisors is an integer number (764164800).

Almost surely, 2^133557953760 is an apocalyptic number.

133557953760 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 133557953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293439283200).

133557953760 is an abundant number, since it is smaller than the sum of its proper divisors (453320612640).

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

133557953760 is a wasteful number, since it uses less digits than its factorization.

133557953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 54.

The spelling of 133557953760 in words is "one hundred thirty-three billion, five hundred fifty-seven million, nine hundred fifty-three thousand, seven hundred sixty".