2145143952 has 320 divisors, whose sum is σ = 7428096000. Its totient is φ = 591857280.

The previous prime is 2145143951. The next prime is 2145143971. The reversal of 2145143952 is 2593415412.

2145143952 is a `hidden beast` number, since 214 + 5 + 1 + 439 + 5 + 2 = 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 (2145143951) 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 63 ways as a sum of consecutive naturals, for example, 4593223 + ... + 4593689.

It is an arithmetic number, because the mean of its divisors is an integer number (23212800).

Almost surely, 2^2145143952 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 2145143952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048000).

2145143952 is an abundant number, since it is smaller than the sum of its proper divisors (5282952048).

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

2145143952 is a wasteful number, since it uses less digits than its factorization.

2145143952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 510 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2145143952 is about 46315.6987640260. The cubic root of 2145143952 is about 1289.6904395121.

The spelling of 2145143952 in words is "two billion, one hundred forty-five million, one hundred forty-three thousand, nine hundred fifty-two".