20129148000 has 864 divisors, whose sum is σ = 81242572320. Its totient is φ = 4870886400.

The previous prime is 20129147977. The next prime is 20129148019. The reversal of 20129148000 is 84192102.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 341171971 + ... + 341172029.

It is an arithmetic number, because the mean of its divisors is an integer number (94030755).

Almost surely, 2^20129148000 is an apocalyptic number.

20129148000 is a gapful number since it is divisible by the number (20) 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 20129148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40621286160).

20129148000 is an abundant number, since it is smaller than the sum of its proper divisors (61113424320).

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

20129148000 is an frugal number, since it uses more digits than its factorization.

20129148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 20129148000 in words is "twenty billion, one hundred twenty-nine million, one hundred forty-eight thousand".