145564965 has 192 divisors, whose sum is σ = 346590720. Its totient is φ = 56401920.

The previous prime is 145564961. The next prime is 145564997. The reversal of 145564965 is 569465541.

145564965 is a `hidden beast` number, since 1 + 4 + 556 + 4 + 96 + 5 = 666.

It is not a de Polignac number, because 145564965 - 2² = 145564961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145564965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145564961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3550345 + ... + 3550385.

It is an arithmetic number, because the mean of its divisors is an integer number (1805160).

Almost surely, 2^145564965 is an apocalyptic number.

145564965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145564965 is an abundant number, since it is smaller than the sum of its proper divisors (201025755).

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

145564965 is a wasteful number, since it uses less digits than its factorization.

145564965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 145564965 is about 12065.0306671803. The cubic root of 145564965 is about 526.0402232779.

The spelling of 145564965 in words is "one hundred forty-five million, five hundred sixty-four thousand, nine hundred sixty-five".