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138703136 = 251113171783
BaseRepresentation
bin10000100010001…
…11000100100000
3100122222211221012
420101013010200
5241002000021
621432520052
73302646215
oct1021070440
9318884835
10138703136
11713267a0
123a550028
1322974c80
14145c7b0c
15c29c35b
hex8447120

138703136 has 96 divisors (see below), whose sum is σ = 339873408. Its totient is φ = 54743040.

The previous prime is 138703099. The next prime is 138703141. The reversal of 138703136 is 631307831.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 76901 + ... + 78683.

It is an arithmetic number, because the mean of its divisors is an integer number (3540348).

Almost surely, 2138703136 is an apocalyptic number.

138703136 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 138703136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169936704).

138703136 is an abundant number, since it is smaller than the sum of its proper divisors (201170272).

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

138703136 is a wasteful number, since it uses less digits than its factorization.

138703136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 138703136 is about 11777.2295553751. The cubic root of 138703136 is about 517.6411103595.

The spelling of 138703136 in words is "one hundred thirty-eight million, seven hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 748 884 1144 1496 1768 1783 2288 2431 2992 3536 3566 4576 4862 5984 7072 7132 9724 14264 19448 19613 23179 28528 30311 38896 39226 46358 57056 60622 77792 78452 92716 121244 156904 185432 242488 254969 313808 333421 370864 394043 484976 509938 627616 666842 741728 788086 969952 1019876 1333684 1576172 2039752 2667368 3152344 4079504 4334473 5334736 6304688 8159008 8668946 10669472 12609376 17337892 34675784 69351568 138703136