10081475136 has 280 divisors, whose sum is σ = 30776289984. Its totient is φ = 3275251200.

The previous prime is 10081475123. The next prime is 10081475141. The reversal of 10081475136 is 63157418001.

10081475136 is a `hidden beast` number, since 100 + 81 + 475 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×10081475136² (a number of 21 digits) contains 22 as substring.

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 10081475136.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66764661 + ... + 66764811.

Almost surely, 2^10081475136 is an apocalyptic number.

10081475136 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 10081475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388144992).

10081475136 is an abundant number, since it is smaller than the sum of its proper divisors (20694814848).

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

10081475136 is an frugal number, since it uses more digits than its factorization.

10081475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10081475136 in words is "ten billion, eighty-one million, four hundred seventy-five thousand, one hundred thirty-six".