4135148460 has 72 divisors (see below), whose sum is σ = 12602846256. Its totient is φ = 1097470080.

The previous prime is 4135148447. The next prime is 4135148461. The reversal of 4135148460 is 648415314.

4135148460 is a `hidden beast` number, since 4 + 1 + 3 + 514 + 84 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4135148461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16459 + ... + 92418.

Almost surely, 2^4135148460 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 4135148460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301423128).

4135148460 is an abundant number, since it is smaller than the sum of its proper divisors (8467697796).

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

4135148460 is a wasteful number, since it uses less digits than its factorization.

4135148460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109103 (or 109098 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4135148460 is about 64305.1200138838. The cubic root of 4135148460 is about 1605.0813013814.

The spelling of 4135148460 in words is "four billion, one hundred thirty-five million, one hundred forty-eight thousand, four hundred sixty".