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138541756119925 = 5237675214290683
BaseRepresentation
bin11111100000000011000100…
…001010001111101101110101
3200011112110111012010002000211
4133200003010022033231311
5121124332004031314200
61210353112031505421
741116211603600344
oct3740030412175565
9604473435102024
10138541756119925
114016425760a884
12136563a1988271
135c3c57c144a82
14262d657561b5b
151103bc7db5aba
hex7e00c428fb75

138541756119925 has 48 divisors (see below), whose sum is σ = 179411896492992. Its totient is φ = 106024468492800.

The previous prime is 138541756119913. The next prime is 138541756119929. The reversal of 138541756119925 is 529911657145831.

It is not a de Polignac number, because 138541756119925 - 219 = 138541755595637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138541756119929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30143634 + ... + 34434316.

It is an arithmetic number, because the mean of its divisors is an integer number (3737747843604).

Almost surely, 2138541756119925 is an apocalyptic number.

It is an amenable number.

138541756119925 is a deficient number, since it is larger than the sum of its proper divisors (40870140373067).

138541756119925 is a wasteful number, since it uses less digits than its factorization.

138541756119925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291318 (or 4291313 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 67.

The spelling of 138541756119925 in words is "one hundred thirty-eight trillion, five hundred forty-one billion, seven hundred fifty-six million, one hundred nineteen thousand, nine hundred twenty-five".

Divisors: 1 5 25 37 67 185 335 521 925 1675 2479 2605 12395 13025 19277 34907 61975 96385 174535 481925 872675 1291559 4290683 6457795 21453415 32288975 107267075 158755271 287475761 793776355 1437378805 2235445843 3968881775 7186894025 10636603157 11177229215 53183015785 55886146075 82711496191 149774871481 265915078925 413557480955 748874357405 2067787404775 3744371787025 5541670244797 27708351223985 138541756119925