4133132124 has 48 divisors (see below), whose sum is σ = 10552596096. Its totient is φ = 1248667200.

The previous prime is 4133132117. The next prime is 4133132147. The reversal of 4133132124 is 4212313314.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4133132094 and 4133132103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607 + ... + 90990.

It is an arithmetic number, because the mean of its divisors is an integer number (219845752).

Almost surely, 2^4133132124 is an apocalyptic number.

4133132124 is a gapful number since it is divisible by the number (44) 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 4133132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276298048).

4133132124 is an abundant number, since it is smaller than the sum of its proper divisors (6419463972).

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

4133132124 is a wasteful number, since it uses less digits than its factorization.

4133132124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94946 (or 94944 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4133132124 is about 64289.4402215480. The cubic root of 4133132124 is about 1604.8203748862.

Adding to 4133132124 its reverse (4212313314), we get a palindrome (8345445438).

The spelling of 4133132124 in words is "four billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-four".