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136864752 = 243193147103
BaseRepresentation
bin10000010100001…
…10001111110000
3100112112110010220
420022012033300
5240014133002
621325253040
73251221413
oct1012061760
9315473126
10136864752
1170290572
1239a04180
132248027b
1414269b7a
15c0377bc
hex82863f0

136864752 has 160 divisors (see below), whose sum is σ = 396165120. Its totient is φ = 40538880.

The previous prime is 136864751. The next prime is 136864817. The reversal of 136864752 is 257468631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136864751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328733 + ... + 1328835.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 2136864752 is an apocalyptic number.

136864752 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 136864752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198082560).

136864752 is an abundant number, since it is smaller than the sum of its proper divisors (259300368).

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

136864752 is a wasteful number, since it uses less digits than its factorization.

136864752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 136864752 is about 11698.9209758849. The cubic root of 136864752 is about 515.3439773202.

The spelling of 136864752 in words is "one hundred thirty-six million, eight hundred sixty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 47 48 57 62 76 93 94 103 114 124 141 152 186 188 206 228 248 282 304 309 372 376 412 456 496 564 589 618 744 752 824 893 912 1128 1178 1236 1457 1488 1648 1767 1786 1957 2256 2356 2472 2679 2914 3193 3534 3572 3914 4371 4712 4841 4944 5358 5828 5871 6386 7068 7144 7828 8742 9424 9579 9682 10716 11656 11742 12772 14136 14288 14523 15656 17484 19158 19364 21432 23312 23484 25544 27683 28272 29046 31312 34968 38316 38728 42864 46968 51088 55366 58092 60667 69936 76632 77456 83049 91979 93936 110732 116184 121334 150071 153264 166098 182001 183958 221464 232368 242668 275937 300142 332196 364002 367916 442928 450213 485336 551874 600284 664392 728004 735832 900426 970672 1103748 1200568 1328784 1456008 1471664 1800852 2207496 2401136 2851349 2912016 3601704 4414992 5702698 7203408 8554047 11405396 17108094 22810792 34216188 45621584 68432376 136864752