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138131950 = 25211251149
BaseRepresentation
bin10000011101110…
…11100111101110
3100121220211102011
420032323213232
5240330210300
621412351434
73265050025
oct1016734756
9317824364
10138131950
1170a76640
123a31557a
1322804ca8
14144b98bc
15c1d7eba
hex83bb9ee

138131950 has 24 divisors (see below), whose sum is σ = 280283400. Its totient is φ = 50229600.

The previous prime is 138131947. The next prime is 138131963. The reversal of 138131950 is 59131831.

It is a super-3 number, since 3×1381319503 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125025 + ... + 126124.

It is an arithmetic number, because the mean of its divisors is an integer number (11678475).

Almost surely, 2138131950 is an apocalyptic number.

138131950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138131950 is an abundant number, since it is smaller than the sum of its proper divisors (142151450).

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

138131950 is a wasteful number, since it uses less digits than its factorization.

138131950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251172 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 138131950 is about 11752.9549475866. The cubic root of 138131950 is about 516.9295759872.

The spelling of 138131950 in words is "one hundred thirty-eight million, one hundred thirty-one thousand, nine hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 251149 502298 1255745 2511490 2762639 5525278 6278725 12557450 13813195 27626390 69065975 138131950