133888755000 has 1280 divisors, whose sum is σ = 579162608640. Its totient is φ = 24883200000.

The previous prime is 133888754977. The next prime is 133888755019. The reversal of 133888755000 is 557888331.

It is a happy number.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 555554880 + ... + 555555120.

It is an arithmetic number, because the mean of its divisors is an integer number (452470788).

Almost surely, 2^133888755000 is an apocalyptic number.

133888755000 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 133888755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289581304320).

133888755000 is an abundant number, since it is smaller than the sum of its proper divisors (445273853640).

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

133888755000 is a wasteful number, since it uses less digits than its factorization.

133888755000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

It can be divided in two parts, 133888 and 755000, that added together give a palindrome (888888).

The spelling of 133888755000 in words is "one hundred thirty-three billion, eight hundred eighty-eight million, seven hundred fifty-five thousand".