144545064 has 64 divisors (see below), whose sum is σ = 389283840. Its totient is φ = 44594880.

The previous prime is 144545057. The next prime is 144545113. The reversal of 144545064 is 460545441.

144545064 = 273² + 274² + ... + 768².

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12889 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (6082560).

Almost surely, 2^144545064 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 144545064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194641920).

144545064 is an abundant number, since it is smaller than the sum of its proper divisors (244738776).

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

144545064 is a wasteful number, since it uses less digits than its factorization.

144545064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 144545064 is about 12022.6895493479. The cubic root of 144545064 is about 524.8087757090.

The spelling of 144545064 in words is "one hundred forty-four million, five hundred forty-five thousand, sixty-four".