10134913536 has 480 divisors, whose sum is σ = 33829709760. Its totient is φ = 2992619520.

The previous prime is 10134913501. The next prime is 10134913543. The reversal of 10134913536 is 63531943101.

It is a happy number.

10134913536 is a `hidden beast` number, since 1 + 0 + 1 + 34 + 91 + 3 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10134913536.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122107351 + ... + 122107433.

It is an arithmetic number, because the mean of its divisors is an integer number (70478562).

Almost surely, 2^10134913536 is an apocalyptic number.

10134913536 is a gapful number since it is divisible by the number (16) 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 10134913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914854880).

10134913536 is an abundant number, since it is smaller than the sum of its proper divisors (23694796224).

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

10134913536 is an equidigital number, since it uses as much as digits as its factorization.

10134913536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 10134913536 in words is "ten billion, one hundred thirty-four million, nine hundred thirteen thousand, five hundred thirty-six".