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133154064 = 24331718131
BaseRepresentation
bin1111110111111…
…00010100010000
3100021112221001000
413323330110100
5233041412224
621113542000
73204535161
oct773742420
9307487030
10133154064
116918668a
1238714900
13217812b4
1413981768
15ba530c9
hex7efc510

133154064 has 80 divisors (see below), whose sum is σ = 404706240. Its totient is φ = 41771520.

The previous prime is 133154059. The next prime is 133154069. The reversal of 133154064 is 460451331.

It is an interprime number because it is at equal distance from previous prime (133154059) and next prime (133154069).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133154069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (5058828).

Almost surely, 2133154064 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 133154064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202353120).

133154064 is an abundant number, since it is smaller than the sum of its proper divisors (271552176).

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

133154064 is a wasteful number, since it uses less digits than its factorization.

133154064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165 (or 18153 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133154064 is about 11539.2401829583. The cubic root of 133154064 is about 510.6438926036.

The spelling of 133154064 in words is "one hundred thirty-three million, one hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 18131 36262 54393 72524 108786 145048 163179 217572 290096 308227 326358 435144 489537 616454 652716 870288 924681 979074 1232908 1305432 1849362 1958148 2465816 2610864 2774043 3698724 3916296 4931632 5548086 7397448 7832592 8322129 11096172 14794896 16644258 22192344 33288516 44384688 66577032 133154064