145901565 has 48 divisors (see below), whose sum is σ = 269146800. Its totient is φ = 72861696.

The previous prime is 145901557. The next prime is 145901573. The reversal of 145901565 is 565109541.

145901565 is a `hidden beast` number, since 1 + 4 + 5 + 90 + 1 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (145901557) and next prime (145901573).

It can be written as a sum of positive squares in 8 ways, for example, as 21288996 + 124612569 = 4614^2 + 11163^2 .

It is not a de Polignac number, because 145901565 - 2³ = 145901557 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205431 + ... + 206139.

It is an arithmetic number, because the mean of its divisors is an integer number (5607225).

Almost surely, 2^145901565 is an apocalyptic number.

145901565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145901565 is a deficient number, since it is larger than the sum of its proper divisors (123245235).

145901565 is a wasteful number, since it uses less digits than its factorization.

145901565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145901565 is about 12078.9720175187. The cubic root of 145901565 is about 526.4453776230.

The spelling of 145901565 in words is "one hundred forty-five million, nine hundred one thousand, five hundred sixty-five".