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133666974 = 232729157233
BaseRepresentation
bin1111111011110…
…01100010011110
3100022111222121200
413331321202132
5233204320344
621132540330
73212102430
oct775714236
9308458550
10133666974
11694a6a81
12389216a6
13219008ac
1413a76650
15bb05069
hex7f7989e

133666974 has 96 divisors (see below), whose sum is σ = 346057920. Its totient is φ = 36481536.

The previous prime is 133666913. The next prime is 133666979. The reversal of 133666974 is 479666331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133666979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573562 + ... + 573794.

It is an arithmetic number, because the mean of its divisors is an integer number (3604770).

Almost surely, 2133666974 is an apocalyptic number.

133666974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133666974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173028960).

133666974 is an abundant number, since it is smaller than the sum of its proper divisors (212390946).

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

133666974 is a wasteful number, since it uses less digits than its factorization.

133666974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 133666974 is about 11561.4434219954. The cubic root of 133666974 is about 511.2987199781.

The spelling of 133666974 in words is "one hundred thirty-three million, six hundred sixty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 157 174 203 233 261 314 406 466 471 522 609 699 942 1099 1218 1398 1413 1631 1827 2097 2198 2826 3262 3297 3654 4194 4553 4893 6594 6757 9106 9786 9891 13514 13659 14679 19782 20271 27318 29358 31871 36581 40542 40977 47299 60813 63742 73162 81954 94598 95613 109743 121626 141897 191226 219486 256067 283794 286839 329229 425691 512134 573678 658458 768201 851382 1060849 1536402 2121698 2304603 3182547 4609206 6365094 7425943 9547641 14851886 19095282 22277829 44555658 66833487 133666974