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137890541075 = 52721135871697
BaseRepresentation
bin1000000001101011101…
…0101010111000010011
3111011220211101021002212
42000122322222320103
54224344434303300
6143202424502335
712651025155200
oct2003272527023
9434824337085
10137890541075
115352a685461
122288331a9ab
1310006841951
1469613dcca7
1538c093b935
hex201aeaae13

137890541075 has 72 divisors (see below), whose sum is σ = 201120533712. Its totient is φ = 93501972480.

The previous prime is 137890541071. The next prime is 137890541093. The reversal of 137890541075 is 570145098731.

It is a happy number.

It is not a de Polignac number, because 137890541075 - 22 = 137890541071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137890541071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81254627 + ... + 81256323.

It is an arithmetic number, because the mean of its divisors is an integer number (2793340746).

Almost surely, 2137890541075 is an apocalyptic number.

137890541075 is a deficient number, since it is larger than the sum of its proper divisors (63229992637).

137890541075 is a wasteful number, since it uses less digits than its factorization.

137890541075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 137890541075 in words is "one hundred thirty-seven billion, eight hundred ninety million, five hundred forty-one thousand, seventy-five".

Divisors: 1 5 7 25 35 49 113 175 245 565 587 791 1225 1697 2825 2935 3955 4109 5537 8485 11879 14675 19775 20545 27685 28763 42425 59395 66331 83153 102725 138425 143815 191761 296975 331655 415765 464317 719075 958805 996139 1342327 1658275 2078825 2321585 3250219 4794025 4980695 6711635 6972973 9396289 11607925 16251095 24903475 33558175 34864865 46981445 48810811 81255475 112563707 174324325 234907225 244054055 562818535 787945949 1220270275 2814092675 3939729745 5515621643 19698648725 27578108215 137890541075