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145767422025 = 3252254532
BaseRepresentation
bin1000011111000001101…
…0100101100001001001
3111221020210010021102100
42013300122211201021
54342012430001100
6150544205424013
713350152433531
oct2076032454111
9457223107370
10145767422025
1156901a00725
122430126b009
1310990708254
1470ab5b84c1
153bd2217400
hex21f06a5849

145767422025 has 27 divisors (see below), whose sum is σ = 261095907189. Its totient is φ = 77739570720.

The previous prime is 145767422011. The next prime is 145767422209. The reversal of 145767422025 is 520224767541.

The square root of 145767422025 is 381795.

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

145767422025 is a `hidden beast` number, since 1 + 4 + 576 + 74 + 2 + 2 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3463440201 + 142303981824 = 58851^2 + 377232^2 .

It is not a de Polignac number, because 145767422025 - 229 = 145230551113 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 26 ways as a sum of consecutive naturals, for example, 5714199 + ... + 5739651.

Almost surely, 2145767422025 is an apocalyptic number.

145767422025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145767422025 is the 381795-th square number.

145767422025 is the 190898-th centered octagonal number.

It is an amenable number.

145767422025 is a deficient number, since it is larger than the sum of its proper divisors (115328485164).

145767422025 is an frugal number, since it uses more digits than its factorization.

145767422025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50922 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 145767422025 in words is "one hundred forty-five billion, seven hundred sixty-seven million, four hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 25453 76359 127265 229077 381795 636325 1145385 1908975 5726925 647855209 1943565627 3239276045 5830696881 9717828135 16196380225 29153484405 48589140675 145767422025