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133542912 = 2103291499
BaseRepresentation
bin1111111010110…
…11010000000000
3100022021200102210
413331123100000
5233141333122
621130142120
73211044636
oct775332000
9308250383
10133542912
1169421848
1238881940
1321889299
1413a43356
15bacd40c
hex7f5b400

133542912 has 88 divisors (see below), whose sum is σ = 368460000. Its totient is φ = 42950656.

The previous prime is 133542911. The next prime is 133542917. The reversal of 133542912 is 219245331.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 133542912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133542911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88339 + ... + 89837.

Almost surely, 2133542912 is an apocalyptic number.

133542912 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 133542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184230000).

133542912 is an abundant number, since it is smaller than the sum of its proper divisors (234917088).

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

133542912 is a wasteful number, since it uses less digits than its factorization.

133542912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1533 counting only the distinct ones).

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

The square root of 133542912 is about 11556.0768429429. The cubic root of 133542912 is about 511.1404849883.

The spelling of 133542912 in words is "one hundred thirty-three million, five hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1499 1536 1856 2784 2998 3072 3712 4497 5568 5996 7424 8994 11136 11992 14848 17988 22272 23984 29696 35976 43471 44544 47968 71952 86942 89088 95936 130413 143904 173884 191872 260826 287808 347768 383744 521652 575616 695536 767488 1043304 1151232 1391072 1534976 2086608 2302464 2782144 4173216 4604928 5564288 8346432 11128576 16692864 22257152 33385728 44514304 66771456 133542912