145205472825 has 96 divisors (see below), whose sum is σ = 305553459200. Its totient is φ = 66227492160.

The previous prime is 145205472781. The next prime is 145205472847. The reversal of 145205472825 is 528274502541.

145205472825 is a `hidden beast` number, since 1 + 4 + 5 + 20 + 547 + 2 + 82 + 5 = 666.

It is not a de Polignac number, because 145205472825 - 2¹⁷ = 145205341753 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2039274 + ... + 2109276.

Almost surely, 2^145205472825 is an apocalyptic number.

145205472825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145205472825 is an abundant number, since it is smaller than the sum of its proper divisors (160347986375).

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

145205472825 is a wasteful number, since it uses less digits than its factorization.

145205472825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70468 (or 70457 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 145205472825 in words is "one hundred forty-five billion, two hundred five million, four hundred seventy-two thousand, eight hundred twenty-five".