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138125592 = 2332111967137
BaseRepresentation
bin10000011101110…
…10000100011000
3100121220111200200
420032322010120
5240330004332
621412302200
73265022343
oct1016720430
9317814620
10138125592
1170a71890
123a311960
1322802127
14144b745a
15c1d617c
hex83ba118

138125592 has 192 divisors, whose sum is σ = 439171200. Its totient is φ = 38776320.

The previous prime is 138125591. The next prime is 138125593. The reversal of 138125592 is 295521831.

It is an interprime number because it is at equal distance from previous prime (138125591) and next prime (138125593).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138125591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008148 + ... + 1008284.

It is an arithmetic number, because the mean of its divisors is an integer number (2287350).

Almost surely, 2138125592 is an apocalyptic number.

138125592 is a gapful number since it is divisible by the number (12) 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 138125592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585600).

138125592 is an abundant number, since it is smaller than the sum of its proper divisors (301045608).

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

138125592 is a wasteful number, since it uses less digits than its factorization.

138125592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 138125592 is about 11752.6844593055. The cubic root of 138125592 is about 516.9216447092.

The spelling of 138125592 in words is "one hundred thirty-eight million, one hundred twenty-five thousand, five hundred ninety-two".