4153787136 has 144 divisors (see below), whose sum is σ = 12440601600. Its totient is φ = 1366889472.

The previous prime is 4153787117. The next prime is 4153787137. The reversal of 4153787136 is 6317873514.

4153787136 is a `hidden beast` number, since 4 + 1 + 537 + 87 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4153787091 and 4153787100.

It is not an unprimeable number, because it can be changed into a prime (4153787137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542245 + ... + 549851.

Almost surely, 2^4153787136 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 4153787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220300800).

4153787136 is an abundant number, since it is smaller than the sum of its proper divisors (8286814464).

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

4153787136 is an equidigital number, since it uses as much as digits as its factorization.

4153787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7691 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 4153787136 is about 64449.8808067168. The cubic root of 4153787136 is about 1607.4892563701.

The spelling of 4153787136 in words is "four billion, one hundred fifty-three million, seven hundred eighty-seven thousand, one hundred thirty-six".