4251383136 has 288 divisors, whose sum is σ = 16233654528. Its totient is φ = 1019243520.

The previous prime is 4251383131. The next prime is 4251383159. The reversal of 4251383136 is 6313831524.

4251383136 is a `hidden beast` number, since 4 + 2 + 513 + 8 + 3 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4251383136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251383131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 280915 + ... + 295661.

It is an arithmetic number, because the mean of its divisors is an integer number (56366856).

Almost surely, 2^4251383136 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 4251383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116827264).

4251383136 is an abundant number, since it is smaller than the sum of its proper divisors (11982271392).

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

4251383136 is a wasteful number, since it uses less digits than its factorization.

4251383136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14794 (or 14783 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4251383136 is about 65202.6313579444. The cubic root of 4251383136 is about 1619.9816001568.

The spelling of 4251383136 in words is "four billion, two hundred fifty-one million, three hundred eighty-three thousand, one hundred thirty-six".