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139037136 = 24371929751
BaseRepresentation
bin10000100100110…
…00100111010000
3100200121211002120
420102120213100
5241043142021
621444014240
73305540040
oct1022304720
9320554076
10139037136
1171534727
123a691380
1322a60cc4
1414673720
15c3162c6
hex84989d0

139037136 has 160 divisors (see below), whose sum is σ = 447590400. Its totient is φ = 36288000.

The previous prime is 139037123. The next prime is 139037149. The reversal of 139037136 is 631730931.

It is an interprime number because it is at equal distance from previous prime (139037123) and next prime (139037149).

It is a junction number, because it is equal to n+sod(n) for n = 139037097 and 139037106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184761 + ... + 185511.

It is an arithmetic number, because the mean of its divisors is an integer number (2797440).

Almost surely, 2139037136 is an apocalyptic number.

139037136 is a gapful number since it is divisible by the number (16) 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 139037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223795200).

139037136 is an abundant number, since it is smaller than the sum of its proper divisors (308553264).

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

139037136 is a wasteful number, since it uses less digits than its factorization.

139037136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 139037136 is about 11791.4009345794. The cubic root of 139037136 is about 518.0562741048.

The spelling of 139037136 in words is "one hundred thirty-nine million, thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 38 42 48 56 57 58 76 84 87 112 114 116 133 152 168 174 203 228 232 266 304 336 348 399 406 456 464 532 551 609 696 751 798 812 912 1064 1102 1218 1392 1502 1596 1624 1653 2128 2204 2253 2436 3004 3192 3248 3306 3857 4408 4506 4872 5257 6008 6384 6612 7714 8816 9012 9744 10514 11571 12016 13224 14269 15428 15771 18024 21028 21779 23142 26448 28538 30856 31542 36048 42056 42807 43558 46284 57076 61712 63084 65337 84112 85614 87116 92568 99883 114152 126168 130674 152453 171228 174232 185136 199766 228304 252336 261348 299649 304906 342456 348464 399532 413801 457359 522696 599298 609812 684912 799064 827602 914718 1045392 1198596 1219624 1241403 1598128 1655204 1829436 2397192 2439248 2482806 2896607 3310408 3658872 4794384 4965612 5793214 6620816 7317744 8689821 9931224 11586428 17379642 19862448 23172856 34759284 46345712 69518568 139037136