64152144 has 120 divisors (see below), whose sum is σ = 211907072. Its totient is φ = 17729280.

The previous prime is 64152139. The next prime is 64152197. The reversal of 64152144 is 44125146.

64152144 is a `hidden beast` number, since 641 + 5 + 2 + 14 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30222 + ... + 32274.

Almost surely, 2^64152144 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 64152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105953536).

64152144 is an abundant number, since it is smaller than the sum of its proper divisors (147754928).

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

64152144 is a wasteful number, since it uses less digits than its factorization.

64152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2096 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 64152144 is about 8009.5033553898. The cubic root of 64152144 is about 400.3167158282.

The spelling of 64152144 in words is "sixty-four million, one hundred fifty-two thousand, one hundred forty-four".