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137850944 = 2671122543
BaseRepresentation
bin10000011011101…
…11000001000000
3100121101112221112
420031313001000
5240242212234
621402342452
73262466540
oct1015670100
9317345845
10137850944
11708a4500
123a1baa28
132273710a
1414445320
15c17eace
hex8377040

137850944 has 84 divisors (see below), whose sum is σ = 343765632. Its totient is φ = 53687040.

The previous prime is 137850941. The next prime is 137851001. The reversal of 137850944 is 449058731.

It is a super-4 number, since 4×1378509444 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (137850941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52937 + ... + 55479.

It is an arithmetic number, because the mean of its divisors is an integer number (4092448).

Almost surely, 2137850944 is an apocalyptic number.

137850944 is a gapful number since it is divisible by the number (14) 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 137850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171882816).

137850944 is an abundant number, since it is smaller than the sum of its proper divisors (205914688).

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

137850944 is a wasteful number, since it uses less digits than its factorization.

137850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 137850944 is about 11740.9941657425. The cubic root of 137850944 is about 516.5788028643.

The spelling of 137850944 in words is "one hundred thirty-seven million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2464 2543 3388 3872 4928 5086 6776 7744 10172 13552 17801 20344 27104 27973 35602 40688 54208 55946 71204 81376 111892 142408 162752 195811 223784 284816 307703 391622 447568 569632 615406 783244 895136 1139264 1230812 1566488 1790272 2153921 2461624 3132976 4307842 4923248 6265952 8615684 9846496 12531904 17231368 19692992 34462736 68925472 137850944