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136328976 = 2432721392
BaseRepresentation
bin10000010000000…
…11011100010000
3100111112020012100
420020003130100
5234400011401
621310000400
73243530400
oct1010033420
9314466170
10136328976
116aa54a83
12397a6100
1322323444
141416a800
15be7db86
hex8203710

136328976 has 135 divisors (see below), whose sum is σ = 447038631. Its totient is φ = 38670912.

The previous prime is 136328939. The next prime is 136328993. The reversal of 136328976 is 679823631.

The square root of 136328976 is 11676.

It is a perfect power (a square), and thus also a powerful number.

136328976 is a `hidden beast` number, since 1 + 3 + 632 + 8 + 9 + 7 + 6 = 666.

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 26 ways as a sum of consecutive naturals, for example, 980715 + ... + 980853.

Almost surely, 2136328976 is an apocalyptic number.

136328976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136328976 is the 11676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136328976

136328976 is an abundant number, since it is smaller than the sum of its proper divisors (310709655).

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

136328976 is a wasteful number, since it uses less digits than its factorization.

136328976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The cubic root of 136328976 is about 514.6706361684.

The spelling of 136328976 in words is "one hundred thirty-six million, three hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 139 144 147 168 196 252 278 294 336 392 417 441 504 556 588 784 834 882 973 1008 1112 1176 1251 1668 1764 1946 2224 2352 2502 2919 3336 3528 3892 5004 5838 6672 6811 7056 7784 8757 10008 11676 13622 15568 17514 19321 20016 20433 23352 27244 35028 38642 40866 46704 54488 57963 61299 70056 77284 81732 108976 115926 122598 135247 140112 154568 163464 173889 231852 245196 270494 309136 326928 347778 405741 463704 490392 540988 695556 811482 927408 946729 980784 1081976 1217223 1391112 1622964 1893458 2163952 2434446 2782224 2840187 3245928 3786916 4868892 5680374 6491856 7573832 8520561 9737784 11360748 15147664 17041122 19475568 22721496 34082244 45442992 68164488 136328976