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138134016 = 293231967
BaseRepresentation
bin10000011101111…
…00001000000000
3100121220221020200
420032330020000
5240330242031
621412405200
73265056036
oct1016741000
9317827220
10138134016
1170a78149
123a316800
1322805c07
14144ba556
15c1d88e6
hex83bc200

138134016 has 120 divisors (see below), whose sum is σ = 411949824. Its totient is φ = 44513280.

The previous prime is 138133999. The next prime is 138134039. The reversal of 138134016 is 610431831.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142365 + ... + 143331.

Almost surely, 2138134016 is an apocalyptic number.

138134016 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 138134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974912).

138134016 is an abundant number, since it is smaller than the sum of its proper divisors (273815808).

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

138134016 is an equidigital number, since it uses as much as digits as its factorization.

138134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138134016 is about 11753.0428400478. The cubic root of 138134016 is about 516.9321531635.

Adding to 138134016 its reverse (610431831), we get a palindrome (748565847).

The spelling of 138134016 in words is "one hundred thirty-eight million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 967 992 1116 1152 1488 1536 1934 1984 2232 2304 2901 2976 3868 3968 4464 4608 5802 5952 7736 7936 8703 8928 11604 11904 15472 15872 17406 17856 23208 23808 29977 30944 34812 35712 46416 47616 59954 61888 69624 71424 89931 92832 119908 123776 139248 142848 179862 185664 239816 247552 269793 278496 359724 371328 479632 495104 539586 556992 719448 742656 959264 1079172 1113984 1438896 1485312 1918528 2158344 2227968 2877792 3837056 4316688 4455936 5755584 7674112 8633376 11511168 15348224 17266752 23022336 34533504 46044672 69067008 138134016