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138200140 = 225131731267
BaseRepresentation
bin10000011110011…
…00010001001100
3100122001021221201
420033030101030
5240334401030
621414035244
73265452601
oct1017142114
9318037851
10138200140
11710128a1
123a348b24
132282a040
14144d66a8
15c1ed2ca
hex83cc44c

138200140 has 48 divisors (see below), whose sum is σ = 330940512. Its totient is φ = 48024576.

The previous prime is 138200137. The next prime is 138200141. The reversal of 138200140 is 41002831.

138200140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138200141) 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 15 ways as a sum of consecutive naturals, for example, 11214 + ... + 20053.

It is an arithmetic number, because the mean of its divisors is an integer number (6894594).

Almost surely, 2138200140 is an apocalyptic number.

138200140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138200140 is an abundant number, since it is smaller than the sum of its proper divisors (192740372).

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

138200140 is a wasteful number, since it uses less digits than its factorization.

138200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 138200140 is about 11755.8555622294. The cubic root of 138200140 is about 517.0146242061.

Adding to 138200140 its reverse (41002831), we get a palindrome (179202971).

The spelling of 138200140 in words is "one hundred thirty-eight million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 31267 62534 125068 156335 312670 406471 531539 625340 812942 1063078 1625884 2032355 2126156 2657695 4064710 5315390 6910007 8129420 10630780 13820014 27640028 34550035 69100070 138200140