10146203136 has 120 divisors (see below), whose sum is σ = 29364192000. Its totient is φ = 3372650496.

The previous prime is 10146203083. The next prime is 10146203147. The reversal of 10146203136 is 63130264101.

10146203136 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 620 + 3 + 1 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761990 + ... + 1767738.

It is an arithmetic number, because the mean of its divisors is an integer number (244701600).

Almost surely, 2^10146203136 is an apocalyptic number.

10146203136 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 10146203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682096000).

10146203136 is an abundant number, since it is smaller than the sum of its proper divisors (19217988864).

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

10146203136 is an equidigital number, since it uses as much as digits as its factorization.

10146203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10146203136 its reverse (63130264101), we get a palindrome (73276467237).

The spelling of 10146203136 in words is "ten billion, one hundred forty-six million, two hundred three thousand, one hundred thirty-six".