145805625 has 135 divisors (see below), whose sum is σ = 320032713. Its totient is φ = 63756000.

The previous prime is 145805623. The next prime is 145805629. The reversal of 145805625 is 526508541.

The square root of 145805625 is 12075.

It is a perfect power (a square), and thus also a powerful number.

145805625 is a `hidden beast` number, since 1 + 4 + 580 + 56 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11431161 + 134374464 = 3381^2 + 11592^2 .

It is not a de Polignac number, because 145805625 - 2¹ = 145805623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145805625.

It is not an unprimeable number, because it can be changed into a prime (145805623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6339364 + ... + 6339386.

Almost surely, 2^145805625 is an apocalyptic number.

145805625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145805625 is the 12075-th square number.

145805625 is the 6038-th centered octagonal number.

It is an amenable number.

145805625 is an abundant number, since it is smaller than the sum of its proper divisors (174227088).

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

145805625 is an equidigital number, since it uses as much as digits as its factorization.

145805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The cubic root of 145805625 is about 526.3299613509.

Multiplying 145805625 by its sum of digits (36), we get a square (5249002500 = 72450²).

The spelling of 145805625 in words is "one hundred forty-five million, eight hundred five thousand, six hundred twenty-five".