10134348129850 has 96 divisors (see below), whose sum is σ = 21590065575936. Its totient is φ = 3467007230400.

The previous prime is 10134348129823. The next prime is 10134348129877. The reversal of 10134348129850 is 5892184343101.

It is a happy number.

10134348129850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10134348129823) and next prime (10134348129877).

It is a super-2 number, since 2×10134348129850² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10134348129794 and 10134348129803.

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, 298834395 + ... + 298868305.

It is an arithmetic number, because the mean of its divisors is an integer number (224896516416).

Almost surely, 2^{10134348129850} is an apocalyptic number.

10134348129850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10134348129850 is an abundant number, since it is smaller than the sum of its proper divisors (11455717446086).

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

10134348129850 is a wasteful number, since it uses less digits than its factorization.

10134348129850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35780 (or 35775 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 10134348129850 in words is "ten trillion, one hundred thirty-four billion, three hundred forty-eight million, one hundred twenty-nine thousand, eight hundred fifty".