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137439910755 = 3357853170503
BaseRepresentation
bin1000000000000000001…
…1101001101101100011
3111010202102102212112000
42000000003221231203
54222434104121010
6143050010135043
712633613652160
oct2000003515543
9433672385460
10137439910755
1153319279204
1222778421483
13cc643840a4
14691b619067
1538960c67c0
hex20000e9b63

137439910755 has 64 divisors (see below), whose sum is σ = 279571998720. Its totient is φ = 62755648128.

The previous prime is 137439910753. The next prime is 137439910757. The reversal of 137439910755 is 557019934731.

137439910755 is a `hidden beast` number, since 137 + 439 + 9 + 1 + 0 + 75 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (137439910753) and next prime (137439910757).

It is not a de Polignac number, because 137439910755 - 21 = 137439910753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137439910753) 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 63 ways as a sum of consecutive naturals, for example, 720834 + ... + 891336.

It is an arithmetic number, because the mean of its divisors is an integer number (4368312480).

Almost surely, 2137439910755 is an apocalyptic number.

137439910755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137439910755 is an abundant number, since it is smaller than the sum of its proper divisors (142132087965).

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

137439910755 is a wasteful number, since it uses less digits than its factorization.

137439910755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171377 (or 171371 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 137439910755 in words is "one hundred thirty-seven billion, four hundred thirty-nine million, nine hundred ten thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 853 945 2559 4265 5971 7677 12795 17913 23031 29855 38385 53739 89565 115155 161217 170503 268695 511509 806085 852515 1193521 1534527 2557545 3580563 4603581 5967605 7672635 10741689 17902815 23017905 32225067 53708445 145439059 161125335 436317177 727195295 1018073413 1308951531 2181585885 3054220239 3926854593 5090367065 6544757655 9162660717 15271101195 19634272965 27487982151 45813303585 137439910755