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133531860 = 223572114129
BaseRepresentation
bin1111111010110…
…00100011010100
3100022021010021110
413331120203110
5233141004420
621130015020
73211000500
oct775304324
9308233243
10133531860
1169414510
1238877470
1321884247
1413a3d300
15bac9ee0
hex7f588d4

133531860 has 144 divisors (see below), whose sum is σ = 474586560. Its totient is φ = 27740160.

The previous prime is 133531847. The next prime is 133531861. The reversal of 133531860 is 68135331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133531861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30276 + ... + 34404.

It is an arithmetic number, because the mean of its divisors is an integer number (3295740).

Almost surely, 2133531860 is an apocalyptic number.

133531860 is a gapful number since it is divisible by the number (10) 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 133531860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237293280).

133531860 is an abundant number, since it is smaller than the sum of its proper divisors (341054700).

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

133531860 is a wasteful number, since it uses less digits than its factorization.

133531860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 133531860 is about 11555.5986430821. The cubic root of 133531860 is about 511.1263839517.

The spelling of 133531860 in words is "one hundred thirty-three million, five hundred thirty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4129 4620 5390 6468 8085 8258 10780 12387 16170 16516 20645 24774 28903 32340 41290 45419 49548 57806 61935 82580 86709 90838 115612 123870 136257 144515 173418 181676 202321 227095 247740 272514 289030 317933 346836 404642 433545 454190 545028 578060 606963 635866 681285 809284 867090 908380 953799 1011605 1213926 1271732 1362570 1589665 1734180 1907598 2023210 2225531 2427852 2725140 3034815 3179330 3815196 4046420 4451062 4768995 6069630 6358660 6676593 8902124 9537990 11127655 12139260 13353186 19075980 22255310 26706372 33382965 44510620 66765930 133531860