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138144780 = 22325767471
BaseRepresentation
bin10000011101111…
…10110000001100
3100121221111000100
420032332300030
5240331113110
621412531100
73265132314
oct1016766014
9317844010
10138144780
1170a85244
123a320a90
132280aa97
14144c0444
15c1dbbc0
hex83bec0c

138144780 has 36 divisors (see below), whose sum is σ = 419039712. Its totient is φ = 36838560.

The previous prime is 138144779. The next prime is 138144817. The reversal of 138144780 is 87441831.

138144780 is a `hidden beast` number, since 138 + 1 + 447 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 383556 + ... + 383915.

It is an arithmetic number, because the mean of its divisors is an integer number (11639992).

Almost surely, 2138144780 is an apocalyptic number.

138144780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138144780 is an abundant number, since it is smaller than the sum of its proper divisors (280894932).

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

138144780 is a wasteful number, since it uses less digits than its factorization.

138144780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767486 (or 767481 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138144780 is about 11753.5007550942. The cubic root of 138144780 is about 516.9455800112.

The spelling of 138144780 in words is "one hundred thirty-eight million, one hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 767471 1534942 2302413 3069884 3837355 4604826 6907239 7674710 9209652 11512065 13814478 15349420 23024130 27628956 34536195 46048260 69072390 138144780