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137207542414605 = 35135840312047813
BaseRepresentation
bin11111001100101000011110…
…110100110111110100001101
3122222210220122112122022101120
4133030220132310313310031
5120441002021324231410
61203452135205431153
740620626544324645
oct3714503664676415
9588726575568346
10137207542414605
113a79a434777473
121347b8a840b4b9
135b738009bb5b0
1425c4c480a9525
1510ce13a47b570
hex7cca1ed37d0d

137207542414605 has 32 divisors (see below), whose sum is σ = 236423217695616. Its totient is φ = 67547166376704.

The previous prime is 137207542414601. The next prime is 137207542414637. The reversal of 137207542414605 is 506414245702731.

It is not a de Polignac number, because 137207542414605 - 22 = 137207542414601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137207542414601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5364679 + ... + 17412491.

It is an arithmetic number, because the mean of its divisors is an integer number (7388225552988).

Almost surely, 2137207542414605 is an apocalyptic number.

137207542414605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137207542414605 is a deficient number, since it is larger than the sum of its proper divisors (99215675281011).

137207542414605 is a wasteful number, since it uses less digits than its factorization.

137207542414605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106237.

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 137207542414605 in words is "one hundred thirty-seven trillion, two hundred seven billion, five hundred forty-two million, four hundred fourteen thousand, six hundred five".

Divisors: 1 3 5 13 15 39 65 195 58403 175209 292015 759239 876045 2277717 3796195 11388585 12047813 36143439 60239065 156621569 180717195 469864707 783107845 2349323535 703628422639 2110885267917 3518142113195 9147169494307 10554426339585 27441508482921 45735847471535 137207542414605