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144973125 = 335411271
BaseRepresentation
bin10001010010000…
…01110101000101
3101002210101202000
420221001311011
5244103120000
622215135513
73410152113
oct1051016505
9332711660
10144973125
1174919500
1240674599
132405bb1b
141537aab3
15cada000
hex8a41d45

144973125 has 120 divisors (see below), whose sum is σ = 299154240. Its totient is φ = 69300000.

The previous prime is 144973121. The next prime is 144973139. The reversal of 144973125 is 521379441.

It is not a de Polignac number, because 144973125 - 22 = 144973121 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 144973125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144973121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2041840 + ... + 2041910.

It is an arithmetic number, because the mean of its divisors is an integer number (2492952).

Almost surely, 2144973125 is an apocalyptic number.

144973125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144973125 is an abundant number, since it is smaller than the sum of its proper divisors (154181115).

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

144973125 is an equidigital number, since it uses as much as digits as its factorization.

144973125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 144973125 is about 12040.4786034443. The cubic root of 144973125 is about 525.3263277325.

The spelling of 144973125 in words is "one hundred forty-four million, nine hundred seventy-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 71 75 99 121 125 135 165 213 225 275 297 355 363 375 495 605 625 639 675 781 825 1065 1089 1125 1375 1485 1775 1815 1875 1917 2343 2475 3025 3195 3267 3375 3905 4125 5325 5445 5625 6875 7029 7425 8591 8875 9075 9585 11715 12375 15125 15975 16335 16875 19525 20625 21087 25773 26625 27225 35145 37125 42955 44375 45375 47925 58575 61875 75625 77319 79875 81675 97625 105435 128865 133125 136125 175725 185625 214775 226875 231957 239625 292875 386595 399375 408375 488125 527175 644325 680625 878625 1073875 1159785 1198125 1464375 1932975 2041875 2635875 3221625 4393125 5369375 5798925 9664875 13179375 16108125 28994625 48324375 144973125