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134387968 = 2811133671
BaseRepresentation
bin10000000001010…
…01100100000000
3100100212121122011
420000221210000
5233400403333
621200222304
73221164441
oct1000514400
9310777564
10134387968
1169949740
123900a994
1321ac3b10
1413bc32c8
15bbe89cd
hex8029900

134387968 has 72 divisors (see below), whose sum is σ = 315233856. Its totient is φ = 56371200.

The previous prime is 134387933. The next prime is 134387983. The reversal of 134387968 is 869783431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34773 + ... + 38443.

It is an arithmetic number, because the mean of its divisors is an integer number (4378248).

Almost surely, 2134387968 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 134387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157616928).

134387968 is an abundant number, since it is smaller than the sum of its proper divisors (180845888).

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

134387968 is a wasteful number, since it uses less digits than its factorization.

134387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3697 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 134387968 is about 11592.5824560363. The cubic root of 134387968 is about 512.2163798955.

The spelling of 134387968 in words is "one hundred thirty-four million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 3671 4576 7342 9152 14684 18304 29368 36608 40381 47723 58736 80762 95446 117472 161524 190892 234944 323048 381784 469888 524953 646096 763568 939776 1049906 1292192 1527136 2099812 2584384 3054272 4199624 5168768 6108544 8399248 10337536 12217088 16798496 33596992 67193984 134387968