2145851136 has 432 divisors, whose sum is σ = 7540888320. Its totient is φ = 596643840.

The previous prime is 2145851117. The next prime is 2145851137. The reversal of 2145851136 is 6311585412.

2145851136 is a `hidden beast` number, since 21 + 458 + 51 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 2145851136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145851137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12849325 + ... + 12849491.

It is an arithmetic number, because the mean of its divisors is an integer number (17455760).

Almost surely, 2^2145851136 is an apocalyptic number.

2145851136 is a gapful number since it is divisible by the number (26) 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 2145851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770444160).

2145851136 is an abundant number, since it is smaller than the sum of its proper divisors (5395037184).

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

2145851136 is a wasteful number, since it uses less digits than its factorization.

2145851136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 2145851136 is about 46323.3325226068. The cubic root of 2145851136 is about 1289.8321469000.

The spelling of 2145851136 in words is "two billion, one hundred forty-five million, eight hundred fifty-one thousand, one hundred thirty-six".