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138119136 = 2533146411
BaseRepresentation
bin10000011101110…
…00011111100000
3100121220011211120
420032320133200
5240324303021
621412212240
73264664461
oct1016703740
9317804746
10138119136
1170a67a51
123a30a080
13227cc1cc
14144b4d68
15c1d42c6
hex83b87e0

138119136 has 48 divisors (see below), whose sum is σ = 374266368. Its totient is φ = 44553600.

The previous prime is 138119129. The next prime is 138119159. The reversal of 138119136 is 631911831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138119097 and 138119106.

It is a congruent number.

It is an unprimeable number.

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, 20230 + ... + 26181.

It is an arithmetic number, because the mean of its divisors is an integer number (7797216).

Almost surely, 2138119136 is an apocalyptic number.

138119136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138119136 is an abundant number, since it is smaller than the sum of its proper divisors (236147232).

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

138119136 is a wasteful number, since it uses less digits than its factorization.

138119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46455 (or 46447 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 138119136 is about 11752.4097954420. The cubic root of 138119136 is about 516.9135909322.

The spelling of 138119136 in words is "one hundred thirty-eight million, one hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 46411 92822 139233 185644 278466 371288 556932 742576 1113864 1438741 1485152 2227728 2877482 4316223 4455456 5754964 8632446 11509928 17264892 23019856 34529784 46039712 69059568 138119136