4013136000 has 576 divisors, whose sum is σ = 15405600600. Its totient is φ = 999936000.

The previous prime is 4013135999. The next prime is 4013136067. The reversal of 4013136000 is 6313104.

4013136000 is a `hidden beast` number, since 40 + 13 + 13 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1222761024 + 2790374976 = 34968^2 + 52824^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4013136000² = 32210521108992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129455985 + ... + 129456015.

Almost surely, 2^4013136000 is an apocalyptic number.

4013136000 is a gapful number since it is divisible by the number (40) 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 4013136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702800300).

4013136000 is an abundant number, since it is smaller than the sum of its proper divisors (11392464600).

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

4013136000 is a wasteful number, since it uses less digits than its factorization.

4013136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4013136000 is about 63349.3172812462. The cubic root of 4013136000 is about 1589.1368282743.

Adding to 4013136000 its reverse (6313104), we get a palindrome (4019449104).

The spelling of 4013136000 in words is "four billion, thirteen million, one hundred thirty-six thousand".