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145082025 = 3252112732
BaseRepresentation
bin10001010010111…
…00011010101001
3101002222221010100
420221130122221
5244120111100
622221340013
73411114444
oct1051343251
9332887110
10145082025
1174993300
1240707609
132409956a
14153a865b
15cb0c400
hex8a5c6a9

145082025 has 81 divisors (see below), whose sum is σ = 289595397. Its totient is φ = 69379200.

The previous prime is 145082011. The next prime is 145082033. The reversal of 145082025 is 520280541.

It is a happy number.

The square root of 145082025 is 12045.

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

145082025 is a `hidden beast` number, since 1 + 450 + 8 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 793881 + 144288144 = 891^2 + 12012^2 .

It is not a de Polignac number, because 145082025 - 213 = 145073833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145082025.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1987389 + ... + 1987461.

Almost surely, 2145082025 is an apocalyptic number.

145082025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145082025 is the 12045-th square number.

145082025 is the 6023-rd centered octagonal number.

It is an amenable number.

145082025 is a deficient number, since it is larger than the sum of its proper divisors (144513372).

145082025 is a wasteful number, since it uses less digits than its factorization.

145082025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 145082025 is about 525.4578319192.

The spelling of 145082025 in words is "one hundred forty-five million, eighty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 73 75 99 121 165 219 225 275 363 365 495 605 657 803 825 1089 1095 1815 1825 2409 2475 3025 3285 4015 5329 5445 5475 7227 8833 9075 12045 15987 16425 20075 26499 26645 27225 36135 44165 47961 58619 60225 79497 79935 132495 133225 175857 180675 220825 239805 293095 397485 399675 527571 644809 662475 879285 1199025 1465475 1934427 1987425 2637855 3224045 4396425 5803281 9672135 13189275 16120225 29016405 48360675 145082025