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135101632064525 = 5271723249182217
BaseRepresentation
bin11110101101111111001100…
…110010011010110000001101
3122201100120221000210020001222
4132231333030302122300031
5120202001120302031100
61155200455530213125
740312525246600010
oct3655771462326015
9581316830706058
10135101632064525
113a05830a232045
121319b7272841a5
135a5004c30a529
142550d4d645377
151094484439485
hex7adfccc9ac0d

135101632064525 has 72 divisors (see below), whose sum is σ = 203391785562816. Its totient is φ = 87187897497600.

The previous prime is 135101632064521. The next prime is 135101632064533. The reversal of 135101632064525 is 525460236101531.

It is a happy number.

It is not a de Polignac number, because 135101632064525 - 22 = 135101632064521 is a prime.

It is a super-2 number, since 2×1351016320645252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101632064521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1643191217 + ... + 1643273433.

Almost surely, 2135101632064525 is an apocalyptic number.

It is an amenable number.

135101632064525 is a deficient number, since it is larger than the sum of its proper divisors (68290153498291).

135101632064525 is a wasteful number, since it uses less digits than its factorization.

135101632064525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114759 (or 114737 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 135101632064525 in words is "one hundred thirty-five trillion, one hundred one billion, six hundred thirty-two million, sixty-four thousand, five hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 175 289 425 595 1445 2023 2975 7225 10115 32491 50575 82217 162455 227437 411085 552347 575519 812275 1137185 1397689 2055425 2761735 2877595 3866429 5685925 6988445 9389899 9783823 13808675 14387975 19332145 23760713 34942225 46949495 48919115 65729293 96660725 118803565 166324991 234747475 244595575 328646465 594017825 831624955 1643232325 2671312547 4158124775 13356562735 18699187829 45412313299 66782813675 93495939145 227061566495 317886193093 467479695725 772009326083 1135307832475 1589430965465 3860046630415 5404065282581 7947154827325 19300233152075 27020326412905 135101632064525