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139128 = 233111731
BaseRepresentation
bin100001111101111000
321001211220
4201331320
513423003
62552040
71116423
oct417570
9231756
10139128
1195590
1268620
134b432
14389ba
152b353
hex21f78

139128 has 64 divisors (see below), whose sum is σ = 414720. Its totient is φ = 38400.

The previous prime is 139123. The next prime is 139133. The reversal of 139128 is 821931.

It is a Cunningham number, because it is equal to 3732-1.

139128 is a nontrivial binomial coefficient, being equal to C(528, 2).

It is an interprime number because it is at equal distance from previous prime (139123) and next prime (139133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 139098 and 139107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4473 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2139128 is an apocalyptic number.

139128 is the 527-th triangular number and also the 264-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

139128 is an abundant number, since it is smaller than the sum of its proper divisors (275592).

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

139128 is a wasteful number, since it uses less digits than its factorization.

139128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 139128 is about 372.9986595150. The cubic root of 139128 is about 51.8169103468.

The spelling of 139128 in words is "one hundred thirty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 31 33 34 44 51 62 66 68 88 93 102 124 132 136 186 187 204 248 264 341 372 374 408 527 561 682 744 748 1023 1054 1122 1364 1496 1581 2046 2108 2244 2728 3162 4092 4216 4488 5797 6324 8184 11594 12648 17391 23188 34782 46376 69564 139128