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139738144 = 25713471021
BaseRepresentation
bin10000101010000…
…11110000100000
3100201221102200211
420111003300200
5241233110034
621511023504
73314516560
oct1025036040
9321842624
10139738144
1171973377
123a96ab94
1322c480c0
14147b6da0
15c403d64
hex8543c20

139738144 has 96 divisors (see below), whose sum is σ = 346139136. Its totient is φ = 54051840.

The previous prime is 139738121. The next prime is 139738163. The reversal of 139738144 is 441837931.

139738144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 139738097 and 139738106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136354 + ... + 137374.

It is an arithmetic number, because the mean of its divisors is an integer number (3605616).

Almost surely, 2139738144 is an apocalyptic number.

139738144 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 139738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069568).

139738144 is an abundant number, since it is smaller than the sum of its proper divisors (206400992).

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

139738144 is a wasteful number, since it uses less digits than its factorization.

139738144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 139738144 is about 11821.0889515306. The cubic root of 139738144 is about 518.9254734384.

The spelling of 139738144 in words is "one hundred thirty-nine million, seven hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 91 94 104 112 182 188 208 224 329 364 376 416 611 658 728 752 1021 1222 1316 1456 1504 2042 2444 2632 2912 4084 4277 4888 5264 7147 8168 8554 9776 10528 13273 14294 16336 17108 19552 26546 28588 32672 34216 47987 53092 57176 68432 92911 95974 106184 114352 136864 185822 191948 212368 228704 335909 371644 383896 424736 623831 671818 743288 767792 1247662 1343636 1486576 1535584 2495324 2687272 2973152 4366817 4990648 5374544 8733634 9981296 10749088 17467268 19962592 34934536 69869072 139738144