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133816540 = 225111371659
BaseRepresentation
bin1111111100111…
…10000011011100
3100022210120210011
413332132003130
5233224112130
621140053004
73213264454
oct776360334
9308716704
10133816540
1169599390
1238994164
13219539b0
1413ab4d64
15bb3452a
hex7f9e0dc

133816540 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 44217600.

The previous prime is 133816517. The next prime is 133816547. The reversal of 133816540 is 45618331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133816547) 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, 202731 + ... + 203389.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2133816540 is an apocalyptic number.

133816540 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 133816540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

133816540 is an abundant number, since it is smaller than the sum of its proper divisors (201484580).

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

133816540 is a wasteful number, since it uses less digits than its factorization.

133816540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 133816540 is about 11567.9099235774. The cubic root of 133816540 is about 511.4893539514.

The spelling of 133816540 in words is "one hundred thirty-three million, eight hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 130 142 143 220 260 284 286 355 572 659 710 715 781 923 1318 1420 1430 1562 1846 2636 2860 3124 3295 3692 3905 4615 6590 7249 7810 8567 9230 10153 13180 14498 15620 17134 18460 20306 28996 34268 36245 40612 42835 46789 50765 72490 85670 93578 94237 101530 144980 171340 187156 188474 203060 233945 376948 467890 471185 514679 608257 935780 942370 1029358 1216514 1884740 2058716 2433028 2573395 3041285 5146790 6082570 6690827 10293580 12165140 13381654 26763308 33454135 66908270 133816540