10145204134506 has 256 divisors, whose sum is σ = 26782739020800. Its totient is φ = 2786263474176.

The previous prime is 10145204134493. The next prime is 10145204134537. The reversal of 10145204134506 is 60543140254101.

10145204134506 is a `hidden beast` number, since 1 + 0 + 14 + 5 + 2 + 0 + 4 + 134 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494660580 + ... + 494681088.

It is an arithmetic number, because the mean of its divisors is an integer number (104620074300).

Almost surely, 2^{10145204134506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145204134506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391369510400).

10145204134506 is an abundant number, since it is smaller than the sum of its proper divisors (16637534886294).

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

10145204134506 is a wasteful number, since it uses less digits than its factorization.

10145204134506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20990 (or 20984 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10145204134506 its reverse (60543140254101), we get a palindrome (70688344388607).

The spelling of 10145204134506 in words is "ten trillion, one hundred forty-five billion, two hundred four million, one hundred thirty-four thousand, five hundred six".