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145677825 = 33521072017
BaseRepresentation
bin10001010111011…
…01111000000001
3101011010012102000
420223231320001
5244243142300
622242214213
73416145456
oct1053557001
9334105360
10145677825
117525a9a7
1240954369
13242477c7
14154c182d
15cbc8c00
hex8aede01

145677825 has 48 divisors (see below), whose sum is σ = 270250560. Its totient is φ = 76930560.

The previous prime is 145677823. The next prime is 145677841. The reversal of 145677825 is 528776541.

145677825 is a `hidden beast` number, since 1 + 4 + 567 + 7 + 82 + 5 = 666.

It is not a de Polignac number, because 145677825 - 21 = 145677823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (145677823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71217 + ... + 73233.

It is an arithmetic number, because the mean of its divisors is an integer number (5630220).

Almost surely, 2145677825 is an apocalyptic number.

145677825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145677825 is a deficient number, since it is larger than the sum of its proper divisors (124572735).

145677825 is a wasteful number, since it uses less digits than its factorization.

145677825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2132 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 145677825 is about 12069.7069144201. The cubic root of 145677825 is about 526.1761386813.

The spelling of 145677825 in words is "one hundred forty-five million, six hundred seventy-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 225 321 535 675 963 1605 2017 2675 2889 4815 6051 8025 10085 14445 18153 24075 30255 50425 54459 72225 90765 151275 215819 272295 453825 647457 1079095 1361475 1942371 3237285 5395475 5827113 9711855 16186425 29135565 48559275 145677825