4131153000 has 768 divisors, whose sum is σ = 16680867840. Its totient is φ = 912384000.

The previous prime is 4131152953. The next prime is 4131153041. The reversal of 4131153000 is 3511314.

4131153000 is a `hidden beast` number, since 4 + 131 + 1 + 530 + 0 + 0 = 666.

4131153000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 61658967 + ... + 61659033.

It is an arithmetic number, because the mean of its divisors is an integer number (21719880).

Almost surely, 2^4131153000 is an apocalyptic number.

4131153000 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 4131153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340433920).

4131153000 is an abundant number, since it is smaller than the sum of its proper divisors (12549714840).

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

4131153000 is a wasteful number, since it uses less digits than its factorization.

4131153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4131153000 is about 64274.0460839366. The cubic root of 4131153000 is about 1604.5641813170.

Adding to 4131153000 its reverse (3511314), we get a palindrome (4134664314).

The spelling of 4131153000 in words is "four billion, one hundred thirty-one million, one hundred fifty-three thousand".