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133149140 = 22541712287
BaseRepresentation
bin1111110111110…
…11000111010100
3100021112200021122
413323323013110
5233041233030
621113503112
73204514625
oct773730724
9307480248
10133149140
1169182a13
1238711a98
132177bc97
141397da4c
15ba518e5
hex7efb1d4

133149140 has 48 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 51206400.

The previous prime is 133149127. The next prime is 133149157. The reversal of 133149140 is 41941331.

133149140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57077 + ... + 59363.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2133149140 is an apocalyptic number.

133149140 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 133149140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

133149140 is an abundant number, since it is smaller than the sum of its proper divisors (157445164).

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

133149140 is a wasteful number, since it uses less digits than its factorization.

133149140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 133149140 is about 11539.0268220505. The cubic root of 133149140 is about 510.6375980366.

The spelling of 133149140 in words is "one hundred thirty-three million, one hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 710 820 1420 2287 2911 4574 5822 9148 11435 11644 14555 22870 29110 45740 58220 93767 162377 187534 324754 375068 468835 649508 811885 937670 1623770 1875340 3247540 6657457 13314914 26629828 33287285 66574570 133149140