20134800000 has 1152 divisors, whose sum is σ = 89499271680. Its totient is φ = 4239360000.

The previous prime is 20134799969. The next prime is 20134800031. The reversal of 20134800000 is 843102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20134799969) and next prime (20134800031).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 428399977 + ... + 428400023.

It is an arithmetic number, because the mean of its divisors is an integer number (77690340).

Almost surely, 2^20134800000 is an apocalyptic number.

20134800000 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 20134800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44749635840).

20134800000 is an abundant number, since it is smaller than the sum of its proper divisors (69364471680).

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

20134800000 is an equidigital number, since it uses as much as digits as its factorization.

20134800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 20134800000 in words is "twenty billion, one hundred thirty-four million, eight hundred thousand".