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125145535125 = 3531324148163
BaseRepresentation
bin111010010001101000…
…0010101001010010101
3102222000121101212201110
41310203100111022111
54022244224111000
6133254023045233
712020136332352
oct1644320251225
9388017355643
10125145535125
114908a434896
1220306ba0819
13ba55240800
1460b288d629
1533c6aa8850
hex1d23415295

125145535125 has 96 divisors (see below), whose sum is σ = 230997626496. Its totient is φ = 60106176000.

The previous prime is 125145535121. The next prime is 125145535213. The reversal of 125145535125 is 521535541521.

It is not a de Polignac number, because 125145535125 - 22 = 125145535121 is a prime.

It is a super-2 number, since 2×1251455351252 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125145535121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2574294 + ... + 2622456.

It is an arithmetic number, because the mean of its divisors is an integer number (2406225276).

Almost surely, 2125145535125 is an apocalyptic number.

125145535125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125145535125 is a deficient number, since it is larger than the sum of its proper divisors (105852091371).

125145535125 is a wasteful number, since it uses less digits than its factorization.

125145535125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48248 (or 48225 counting only the distinct ones).

The product of its digits is 150000, while the sum is 39.

The spelling of 125145535125 in words is "one hundred twenty-five billion, one hundred forty-five million, five hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 41 65 75 123 125 169 195 205 325 375 507 533 615 845 975 1025 1599 1625 2535 2665 3075 4225 4875 5125 6929 7995 12675 13325 15375 20787 21125 34645 39975 48163 63375 66625 103935 144489 173225 199875 240815 519675 626119 722445 866125 1204075 1878357 1974683 2598375 3130595 3612225 5924049 6020375 8139547 9391785 9873415 15652975 18061125 24418641 25670879 29620245 40697735 46958925 49367075 77012637 78264875 122093205 128354395 148101225 203488675 234794625 246835375 333721427 385063185 610466025 641771975 740506125 1001164281 1017443375 1668607135 1925315925 3052330125 3208859875 5005821405 8343035675 9626579625 25029107025 41715178375 125145535125