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135014256 = 24331329829
BaseRepresentation
bin10000000110000…
…10011101110000
3100102001102202000
420003002131300
5234030424011
621221454000
73226413366
oct1003023560
9312042660
10135014256
116a237233
1239271300
1321c82bc0
1413d07636
15bcbe356
hex80c2770

135014256 has 160 divisors (see below), whose sum is σ = 432264000. Its totient is φ = 40061952.

The previous prime is 135014249. The next prime is 135014261. The reversal of 135014256 is 652410531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162450 + ... + 163278.

It is an arithmetic number, because the mean of its divisors is an integer number (2701650).

Almost surely, 2135014256 is an apocalyptic number.

135014256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135014256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216132000).

135014256 is an abundant number, since it is smaller than the sum of its proper divisors (297249744).

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

135014256 is a wasteful number, since it uses less digits than its factorization.

135014256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135014256 is about 11619.5635029893. The cubic root of 135014256 is about 513.0108407134.

Adding to 135014256 its reverse (652410531), we get a palindrome (787424787).

The spelling of 135014256 in words is "one hundred thirty-five million, fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 829 936 1044 1131 1392 1404 1508 1566 1658 1872 2088 2262 2487 2808 3016 3132 3316 3393 4176 4524 4974 5616 6032 6264 6632 6786 7461 9048 9948 10179 10777 12528 13264 13572 14922 18096 19896 20358 21554 22383 24041 27144 29844 32331 39792 40716 43108 44766 48082 54288 59688 64662 72123 81432 86216 89532 96164 96993 119376 129324 144246 162864 172432 179064 192328 193986 216369 258648 288492 290979 312533 358128 384656 387972 432738 517296 576984 581958 625066 649107 775944 865476 937599 1153968 1163916 1250132 1298214 1551888 1730952 1875198 2327832 2500264 2596428 2812797 3461904 3750396 4655664 5000528 5192856 5625594 7500792 8438391 10385712 11251188 15001584 16876782 22502376 33753564 45004752 67507128 135014256