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133126356 = 223112983419
BaseRepresentation
bin1111110111101…
…01100011010100
3100021111112000210
413323311203110
5233040020411
621113205420
73204361326
oct773654324
9307445023
10133126356
1169167890
1238700870
13217717bc
1413975616
15ba49ca6
hex7ef58d4

133126356 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 38389120.

The previous prime is 133126351. The next prime is 133126363. The reversal of 133126356 is 653621331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133126351) 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 31 ways as a sum of consecutive naturals, for example, 317515 + ... + 317933.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2133126356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133126356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

133126356 is an abundant number, since it is smaller than the sum of its proper divisors (222496044).

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

133126356 is a wasteful number, since it uses less digits than its factorization.

133126356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 133126356 is about 11538.0395215132. The cubic root of 133126356 is about 510.6084702212.

Adding to 133126356 its reverse (653621331), we get a palindrome (786747687).

The spelling of 133126356 in words is "one hundred thirty-three million, one hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 83 87 116 132 166 174 249 319 332 348 419 498 638 838 913 957 996 1257 1276 1676 1826 1914 2407 2514 2739 3652 3828 4609 4814 5028 5478 7221 9218 9628 10956 12151 13827 14442 18436 24302 26477 27654 28884 34777 36453 48604 52954 55308 69554 72906 79431 104331 105908 133661 139108 145812 158862 208662 267322 317724 382547 400983 417324 534644 765094 801966 1008533 1147641 1530188 1603932 2017066 2295282 3025599 4034132 4590564 6051198 11093863 12102396 22187726 33281589 44375452 66563178 133126356