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133912152 = 233211219809
BaseRepresentation
bin1111111101101…
…01011001011000
3100022222102221100
413332311121120
5233240142102
621142111400
73214143303
oct776653130
9308872840
10133912152
1169654200
1238a1b560
132198837a
1413adbb3a
15bb52a1c
hex7fb5658

133912152 has 144 divisors (see below), whose sum is σ = 420147000. Its totient is φ = 38396160.

The previous prime is 133912151. The next prime is 133912153. The reversal of 133912152 is 251219331.

It is an interprime number because it is at equal distance from previous prime (133912151) and next prime (133912153).

It is a super-2 number, since 2×1339121522 = 35864928906542208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133912151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165124 + ... + 165932.

Almost surely, 2133912152 is an apocalyptic number.

133912152 is a gapful number since it is divisible by the number (12) 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 133912152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210073500).

133912152 is an abundant number, since it is smaller than the sum of its proper divisors (286234848).

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

133912152 is a wasteful number, since it uses less digits than its factorization.

133912152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 133912152 is about 11572.0418250195. The cubic root of 133912152 is about 511.6111447687.

The spelling of 133912152 in words is "one hundred thirty-three million, nine hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 809 836 968 1089 1254 1368 1452 1618 1672 1881 2178 2299 2427 2508 2904 3236 3762 4356 4598 4854 5016 6472 6897 7281 7524 8712 8899 9196 9708 13794 14562 15048 15371 17798 18392 19416 20691 26697 27588 29124 30742 35596 41382 46113 53394 55176 58248 61484 71192 80091 82764 92226 97889 106788 122968 138339 160182 165528 169081 184452 195778 213576 276678 293667 320364 338162 368904 391556 507243 553356 587334 640728 676324 783112 881001 1014486 1106712 1174668 1352648 1521729 1762002 1859891 2028972 2349336 3043458 3524004 3719782 4057944 5579673 6086916 7048008 7439564 11159346 12173832 14879128 16739019 22318692 33478038 44637384 66956076 133912152