10134420000 has 240 divisors, whose sum is σ = 33752470752. Its totient is φ = 2661120000.

The previous prime is 10134419993. The next prime is 10134420007. The reversal of 10134420000 is 2443101.

It is an interprime number because it is at equal distance from previous prime (10134419993) and next prime (10134420007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10134420007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4018740 + ... + 4021260.

Almost surely, 2^10134420000 is an apocalyptic number.

10134420000 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 10134420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876235376).

10134420000 is an abundant number, since it is smaller than the sum of its proper divisors (23618050752).

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

10134420000 is an equidigital number, since it uses as much as digits as its factorization.

10134420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10134420000 its reverse (2443101), we get a palindrome (10136863101).

The spelling of 10134420000 in words is "ten billion, one hundred thirty-four million, four hundred twenty thousand".