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133143912 = 23341118679
BaseRepresentation
bin1111110111110…
…01110101101000
3100021112102010000
413323321311220
5233041101122
621113423000
73204463446
oct773716550
9307472100
10133143912
1169179aa0
123870aa60
13217797a5
141397bb96
15ba500ac
hex7ef9d68

133143912 has 80 divisors (see below), whose sum is σ = 406850400. Its totient is φ = 40344480.

The previous prime is 133143893. The next prime is 133143931. The reversal of 133143912 is 219341331.

It is an interprime number because it is at equal distance from previous prime (133143893) and next prime (133143931).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2212 + ... + 16467.

It is an arithmetic number, because the mean of its divisors is an integer number (5085630).

Almost surely, 2133143912 is an apocalyptic number.

133143912 is a gapful number since it is divisible by the number (12) 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 133143912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203425200).

133143912 is an abundant number, since it is smaller than the sum of its proper divisors (273706488).

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

133143912 is a wasteful number, since it uses less digits than its factorization.

133143912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 18695 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 133143912 is about 11538.8002842583. The cubic root of 133143912 is about 510.6309146831.

The spelling of 133143912 in words is "one hundred thirty-three million, one hundred forty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 18679 37358 56037 74716 112074 149432 168111 205469 224148 336222 410938 448296 504333 616407 672444 821876 1008666 1232814 1344888 1512999 1643752 1849221 2017332 2465628 3025998 3698442 4034664 4931256 5547663 6051996 7396884 11095326 12103992 14793768 16642989 22190652 33285978 44381304 66571956 133143912