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138225285 = 34511192371
BaseRepresentation
bin10000011110100…
…10011010000101
3100122002120110000
420033102122011
5240341202120
621414351513
73265616112
oct1017223205
9318076400
10138225285
117102a780
123a35b599
1322838613
1414501909
15c205990
hex83d2685

138225285 has 160 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 59875200.

The previous prime is 138225271. The next prime is 138225287. The reversal of 138225285 is 582522831.

It is not a de Polignac number, because 138225285 - 25 = 138225253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138225287) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1946800 + ... + 1946870.

It is an arithmetic number, because the mean of its divisors is an integer number (1881792).

Almost surely, 2138225285 is an apocalyptic number.

138225285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138225285 is an abundant number, since it is smaller than the sum of its proper divisors (162861435).

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

138225285 is a wasteful number, since it uses less digits than its factorization.

138225285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 138225285 is about 11756.9249806231. The cubic root of 138225285 is about 517.0459785987.

The spelling of 138225285 in words is "one hundred thirty-eight million, two hundred twenty-five thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 23 27 33 45 55 57 69 71 81 95 99 115 135 165 171 207 209 213 253 285 297 345 355 405 437 495 513 621 627 639 759 781 855 891 1035 1045 1065 1265 1311 1349 1485 1539 1633 1863 1881 1917 2185 2277 2343 2565 3105 3135 3195 3795 3905 3933 4047 4455 4807 4899 5643 5751 6555 6745 6831 7029 7695 8165 9315 9405 9585 11385 11715 11799 12141 14421 14697 14839 16929 17963 19665 20235 20493 21087 24035 24495 28215 28755 31027 34155 35145 35397 36423 43263 44091 44517 53889 58995 60705 63261 72105 73485 74195 84645 89815 93081 102465 105435 109269 129789 132273 133551 155135 161667 176985 182115 216315 220455 222585 269445 279243 316305 341297 389367 400653 465405 485001 546345 648945 661365 667755 808335 837729 1023891 1201959 1396215 1455003 1706485 1946835 2003265 2425005 2513187 3071673 4188645 5119455 6009795 7275015 9215019 12565935 15358365 27645057 46075095 138225285