145105664 has 54 divisors (see below), whose sum is σ = 317373924. Its totient is φ = 65666560.

The previous prime is 145105657. The next prime is 145105733. The reversal of 145105664 is 466501541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 145105664.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 639119 + ... + 639345.

Almost surely, 2^145105664 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 145105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158686962).

145105664 is an abundant number, since it is smaller than the sum of its proper divisors (172268260).

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

145105664 is an frugal number, since it uses more digits than its factorization.

145105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 145105664 is about 12045.9812385708. The cubic root of 145105664 is about 525.4863689327.

The spelling of 145105664 in words is "one hundred forty-five million, one hundred five thousand, six hundred sixty-four".