33126141000 has 256 divisors, whose sum is σ = 108439119360. Its totient is φ = 8403225600.

The previous prime is 33126140989. The next prime is 33126141001. The reversal of 33126141000 is 14162133.

It is not an unprimeable number, because it can be changed into a prime (33126141001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13591782 + ... + 13594218.

It is an arithmetic number, because the mean of its divisors is an integer number (423590310).

Almost surely, 2^33126141000 is an apocalyptic number.

33126141000 is a gapful number since it is divisible by the number (30) 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 33126141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54219559680).

33126141000 is an abundant number, since it is smaller than the sum of its proper divisors (75312978360).

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

33126141000 is a wasteful number, since it uses less digits than its factorization.

33126141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 33126141000 in words is "thirty-three billion, one hundred twenty-six million, one hundred forty-one thousand".