8133161400 has 672 divisors, whose sum is σ = 34950992160. Its totient is φ = 1713208320.

The previous prime is 8133161383. The next prime is 8133161411. The reversal of 8133161400 is 41613318.

8133161400 is a `hidden beast` number, since 8 + 13 + 31 + 614 + 0 + 0 = 666.

It is a super-2 number, since 2×8133161400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13267494 + ... + 13268106.

It is an arithmetic number, because the mean of its divisors is an integer number (52010405).

Almost surely, 2^8133161400 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 8133161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475496080).

8133161400 is an abundant number, since it is smaller than the sum of its proper divisors (26817830760).

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

8133161400 is a wasteful number, since it uses less digits than its factorization.

8133161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8133161400 is about 90184.0418255913. The cubic root of 8133161400 is about 2011.0357771423.

Adding to 8133161400 its reverse (41613318), we get a palindrome (8174774718).

The spelling of 8133161400 in words is "eight billion, one hundred thirty-three million, one hundred sixty-one thousand, four hundred".