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133850664 = 23331573947
BaseRepresentation
bin1111111101001…
…10011000101000
3100022212022121000
413332212120220
5233231210124
621140515000
73213466113
oct776463050
9308768530
10133850664
1169611a92
12389aba60
132196639c
1413ac357a
15bb3e6c9
hex7fa6628

133850664 has 64 divisors (see below), whose sum is σ = 374270400. Its totient is φ = 44321472.

The previous prime is 133850659. The next prime is 133850669. The reversal of 133850664 is 466058331.

It is an interprime number because it is at equal distance from previous prime (133850659) and next prime (133850669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133850669) 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, 31939 + ... + 35885.

It is an arithmetic number, because the mean of its divisors is an integer number (5847975).

Almost surely, 2133850664 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 133850664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187135200).

133850664 is an abundant number, since it is smaller than the sum of its proper divisors (240419736).

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

133850664 is a wasteful number, since it uses less digits than its factorization.

133850664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133850664 is about 11569.3847718883. The cubic root of 133850664 is about 511.5328278481.

The spelling of 133850664 in words is "one hundred thirty-three million, eight hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1413 1884 2826 3768 3947 4239 5652 7894 8478 11304 11841 15788 16956 23682 31576 33912 35523 47364 71046 94728 106569 142092 213138 284184 426276 619679 852552 1239358 1859037 2478716 3718074 4957432 5577111 7436148 11154222 14872296 16731333 22308444 33462666 44616888 66925332 133850664