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134987904 = 2733139281
BaseRepresentation
bin10000000101111…
…00000010000000
3100102000002121000
420002330002000
5234024103104
621221132000
73226243512
oct1002740200
9312002530
10134987904
116a219457
123925a000
1321c73bcc
1413cdbbb2
15bcb6639
hex80bc080

134987904 has 128 divisors (see below), whose sum is σ = 402696000. Its totient is φ = 44513280.

The previous prime is 134987899. The next prime is 134987911. The reversal of 134987904 is 409789431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 134987904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480244 + ... + 480524.

Almost surely, 2134987904 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 134987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201348000).

134987904 is an abundant number, since it is smaller than the sum of its proper divisors (267708096).

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

134987904 is a wasteful number, since it uses less digits than its factorization.

134987904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 134987904 is about 11618.4294980001. The cubic root of 134987904 is about 512.9774621609.

It can be divided in two parts, 1349 and 87904, that added together give a triangular number (89253 = T422).

The spelling of 134987904 in words is "one hundred thirty-four million, nine hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 278 281 288 384 417 432 556 562 576 834 843 864 1112 1124 1152 1251 1668 1686 1728 2224 2248 2502 2529 3336 3372 3456 3753 4448 4496 5004 5058 6672 6744 7506 7587 8896 8992 10008 10116 13344 13488 15012 15174 17792 17984 20016 20232 26688 26976 30024 30348 35968 39059 40032 40464 53376 53952 60048 60696 78118 80064 80928 107904 117177 120096 121392 156236 160128 161856 234354 240192 242784 312472 323712 351531 468708 480384 485568 624944 703062 937416 971136 1054593 1249888 1406124 1874832 2109186 2499776 2812248 3749664 4218372 4999552 5624496 7499328 8436744 11248992 14998656 16873488 22497984 33746976 44995968 67493952 134987904