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133912064 = 2911133159
BaseRepresentation
bin1111111101101…
…01011000000000
3100022222102211002
413332311120000
5233240141224
621142111132
73214143116
oct776653000
9308872732
10133912064
1169654130
1238a1b4a8
1321988310
1413adbab6
15bb529ae
hex7fb5600

133912064 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 53452800.

The previous prime is 133912063. The next prime is 133912069. The reversal of 133912064 is 460219331.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133912063) 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, 2269667 + ... + 2269725.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2133912064 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 133912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

133912064 is an abundant number, since it is smaller than the sum of its proper divisors (196066816).

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

133912064 is a wasteful number, since it uses less digits than its factorization.

133912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 133912064 is about 11572.0380227512. The cubic root of 133912064 is about 511.6110327007.

The spelling of 133912064 in words is "one hundred thirty-three million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 59 62 64 88 104 118 124 128 143 176 208 236 248 256 286 341 352 403 416 472 496 512 572 649 682 704 767 806 832 944 992 1144 1298 1364 1408 1534 1612 1664 1829 1888 1984 2288 2596 2728 2816 3068 3224 3328 3658 3776 3968 4433 4576 5192 5456 5632 6136 6448 6656 7316 7552 7936 8437 8866 9152 10384 10912 12272 12896 14632 15104 15872 16874 17732 18304 20119 20768 21824 23777 24544 25792 29264 30208 33748 35464 36608 40238 41536 43648 47554 49088 51584 58528 67496 70928 73216 80476 83072 87296 95108 98176 103168 117056 134992 141856 160952 166144 174592 190216 196352 206336 234112 261547 269984 283712 321904 332288 380432 392704 468224 523094 539968 567424 643808 760864 936448 1046188 1079936 1134848 1287616 1521728 2092376 2159872 2269696 2575232 3043456 4184752 4319744 5150464 6086912 8369504 10300928 12173824 16739008 33478016 66956032 133912064