10145411126136 has 192 divisors, whose sum is σ = 32302581948000. Its totient is φ = 2835967057920.

The previous prime is 10145411126051. The next prime is 10145411126173. The reversal of 10145411126136 is 63162111454101.

10145411126136 is a `hidden beast` number, since 1 + 0 + 1 + 454 + 1 + 112 + 61 + 36 = 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 10145411126136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14999860 + ... + 15661628.

Almost surely, 2^{10145411126136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145411126136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151290974000).

10145411126136 is an abundant number, since it is smaller than the sum of its proper divisors (22157170821864).

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

10145411126136 is a wasteful number, since it uses less digits than its factorization.

10145411126136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663294 (or 663287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10145411126136 in words is "ten trillion, one hundred forty-five billion, four hundred eleven million, one hundred twenty-six thousand, one hundred thirty-six".