144152064 has 240 divisors, whose sum is σ = 491531040. Its totient is φ = 39813120.

The previous prime is 144152059. The next prime is 144152083. The reversal of 144152064 is 460251441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1322442 + ... + 1322550.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2^144152064 is an apocalyptic number.

144152064 is a gapful number since it is divisible by the number (14) 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 144152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

144152064 is an abundant number, since it is smaller than the sum of its proper divisors (347378976).

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

144152064 is a wasteful number, since it uses less digits than its factorization.

144152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

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

The square root of 144152064 is about 12006.3343281786. The cubic root of 144152064 is about 524.3327141299.

The spelling of 144152064 in words is "one hundred forty-four million, one hundred fifty-two thousand, sixty-four".