10145035216134 has 512 divisors, whose sum is σ = 30129839308800. Its totient is φ = 2457326108160.

The previous prime is 10145035216097. The next prime is 10145035216187. The reversal of 10145035216134 is 43161253054101.

10145035216134 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 35 + 2 + 1 + 613 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 286719124 + ... + 286754504.

It is an arithmetic number, because the mean of its divisors is an integer number (58847342400).

Almost surely, 2^{10145035216134} is an apocalyptic number.

10145035216134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145035216134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064919654400).

10145035216134 is an abundant number, since it is smaller than the sum of its proper divisors (19984804092666).

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

10145035216134 is a wasteful number, since it uses less digits than its factorization.

10145035216134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35537 (or 35531 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10145035216134 in words is "ten trillion, one hundred forty-five billion, thirty-five million, two hundred sixteen thousand, one hundred thirty-four".