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133757020145 = 5722341678641
BaseRepresentation
bin111110010010010001…
…0100010011111110001
3110210020202102122101002
41330210202202133301
54142413244121040
6141240325051345
712443423624600
oct1744442423761
9423222378332
10133757020145
11517a9394a61
1221b0ab56b55
13c7c8370c88
14668c44da37
15372cadea15
hex1f248a27f1

133757020145 has 96 divisors (see below), whose sum is σ = 202586178816. Its totient is φ = 84304281600.

The previous prime is 133757020127. The next prime is 133757020181. The reversal of 133757020145 is 541020757331.

It is a happy number.

It is not a de Polignac number, because 133757020145 - 28 = 133757019889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133757020099 and 133757020108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15475025 + ... + 15483665.

It is an arithmetic number, because the mean of its divisors is an integer number (2110272696).

Almost surely, 2133757020145 is an apocalyptic number.

It is an amenable number.

133757020145 is a deficient number, since it is larger than the sum of its proper divisors (68829158671).

133757020145 is a wasteful number, since it uses less digits than its factorization.

133757020145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

Adding to 133757020145 its reverse (541020757331), we get a palindrome (674777777476).

The spelling of 133757020145 in words is "one hundred thirty-three billion, seven hundred fifty-seven million, twenty thousand, one hundred forty-five".

Divisors: 1 5 7 23 35 41 49 67 115 161 205 245 287 335 469 805 943 1127 1435 1541 2009 2345 2747 3283 4715 5635 6601 7705 8641 10045 10787 13735 16415 19229 33005 43205 46207 53935 60487 63181 75509 96145 134603 198743 231035 302435 315905 354281 377545 423409 442267 578947 673015 993715 1391201 1771405 2117045 2211335 2479967 2894735 3095869 4052629 6956005 8148463 9738407 12399835 13315781 15479345 17359769 20263145 23736827 28368403 40742315 48692035 57039241 66578905 86798845 93210467 118684135 141842015 166157789 285196205 399274687 466052335 545947021 652473269 830788945 1163104523 1996373435 2729735105 3262366345 3821629147 5815522615 19108145735 26751404029 133757020145