10134240000 has 360 divisors, whose sum is σ = 34558087872. Its totient is φ = 2634240000.

The previous prime is 10134239989. The next prime is 10134240047. The reversal of 10134240000 is 4243101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20639755 + ... + 20640245.

Almost surely, 2^10134240000 is an apocalyptic number.

10134240000 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 10134240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279043936).

10134240000 is an abundant number, since it is smaller than the sum of its proper divisors (24423847872).

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

10134240000 is an frugal number, since it uses more digits than its factorization.

10134240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

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

Adding to 10134240000 its reverse (4243101), we get a palindrome (10138483101).

The spelling of 10134240000 in words is "ten billion, one hundred thirty-four million, two hundred forty thousand".