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138144192 = 2635211381
BaseRepresentation
bin10000011101111…
…10100111000000
3100121221110012120
420032332213000
5240331103232
621412524240
73265130514
oct1016764700
9317843176
10138144192
1170a8485a
123a320680
132280a734
14144c0144
15c1db92c
hex83be9c0

138144192 has 56 divisors (see below), whose sum is σ = 366473232. Its totient is φ = 45926400.

The previous prime is 138144191. The next prime is 138144217. The reversal of 138144192 is 291441831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138144191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99342 + ... + 100722.

Almost surely, 2138144192 is an apocalyptic number.

138144192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138144192 is an abundant number, since it is smaller than the sum of its proper divisors (228329040).

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

138144192 is a wasteful number, since it uses less digits than its factorization.

138144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1907 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 138144192 is about 11753.4757412435. The cubic root of 138144192 is about 516.9448465670.

The spelling of 138144192 in words is "one hundred thirty-eight million, one hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 521 1042 1381 1563 2084 2762 3126 4143 4168 5524 6252 8286 8336 11048 12504 16572 16672 22096 25008 33144 33344 44192 50016 66288 88384 100032 132576 265152 719501 1439002 2158503 2878004 4317006 5756008 8634012 11512016 17268024 23024032 34536048 46048064 69072096 138144192