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137452000114 = 2111323371035483
BaseRepresentation
bin1000000000000011000…
…1110001001101110010
3111010210021012002000001
42000000301301031302
54223000203000424
6143051121220214
712634121503132
oct2000061611562
9433707162001
10137452000114
1153325086110
122278049166a
13cc66a27960
14691d084ac2
1538971b3844
hex2000c71372

137452000114 has 128 divisors (see below), whose sum is σ = 262153801728. Its totient is φ = 53142946560.

The previous prime is 137452000111. The next prime is 137452000163. The reversal of 137452000114 is 411000254731.

It is not an unprimeable number, because it can be changed into a prime (137452000111) 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, 25066017 + ... + 25071499.

It is an arithmetic number, because the mean of its divisors is an integer number (2048076576).

Almost surely, 2137452000114 is an apocalyptic number.

137452000114 is the 198172-nd nonagonal number.

137452000114 is a deficient number, since it is larger than the sum of its proper divisors (124701801614).

137452000114 is a wasteful number, since it uses less digits than its factorization.

137452000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672.

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 137452000114 its reverse (411000254731), we get a palindrome (548452254845).

The spelling of 137452000114 in words is "one hundred thirty-seven billion, four hundred fifty-two million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 11 13 22 23 26 37 46 74 103 143 206 253 286 299 407 481 506 598 814 851 962 1133 1339 1702 2266 2369 2678 3289 3811 4738 5291 5483 6578 7622 9361 10582 10966 11063 14729 18722 22126 26059 29458 30797 41921 49543 52118 60313 61594 71279 83842 87653 99086 120626 121693 126109 142558 175306 202871 243386 252218 338767 405742 544973 564749 677534 784069 964183 1089946 1129498 1139489 1387199 1568138 1639417 1928366 2231581 2278978 2637323 2774398 3278834 4463162 4666033 5274646 6212239 7341737 9332066 12424478 12534379 12989227 14683474 18033587 20895713 25068758 25978454 29010553 36067174 41791426 51326363 58021106 60658429 80759107 102652726 121316858 142881497 161518214 168859951 229852843 271644269 285762994 337719902 459705686 480601399 543288538 667242719 961202798 1334485438 1857459461 2988086959 3714918922 5286615389 5976173918 6247818187 10573230778 12495636374 68726000057 137452000114