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138012552 = 23333671741
BaseRepresentation
bin10000011100111…
…10011110001000
3100121200202122000
420032132132020
5240312400202
621410031000
73264041646
oct1016363610
9317622560
10138012552
11709a4967
123a278460
1322792842
1414488196
15c1b291c
hex839e788

138012552 has 64 divisors (see below), whose sum is σ = 384633600. Its totient is φ = 45852480.

The previous prime is 138012547. The next prime is 138012557. The reversal of 138012552 is 255210831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138012547) and next prime (138012557).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138012557) 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 15 ways as a sum of consecutive naturals, for example, 78402 + ... + 80142.

It is an arithmetic number, because the mean of its divisors is an integer number (6009900).

Almost surely, 2138012552 is an apocalyptic number.

138012552 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 138012552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192316800).

138012552 is an abundant number, since it is smaller than the sum of its proper divisors (246621048).

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

138012552 is a wasteful number, since it uses less digits than its factorization.

138012552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 138012552 is about 11747.8743609216. The cubic root of 138012552 is about 516.7805924747.

The spelling of 138012552 in words is "one hundred thirty-eight million, twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 367 734 1101 1468 1741 2202 2936 3303 3482 4404 5223 6606 6964 8808 9909 10446 13212 13928 15669 19818 20892 26424 31338 39636 41784 47007 62676 79272 94014 125352 188028 376056 638947 1277894 1916841 2555788 3833682 5111576 5750523 7667364 11501046 15334728 17251569 23002092 34503138 46004184 69006276 138012552