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125153610540 = 223572179136753
BaseRepresentation
bin111010010001110111…
…1001000101100101100
3102222001011121011002220
41310203233020230230
54022303311014130
6133254512115340
712020265065010
oct1644357105454
9388034534086
10125153610540
1149093a4aa92
1220309835b50
13ba56b0a36a
1460b3992540
1533c7651410
hex1d23bc8b2c

125153610540 has 96 divisors (see below), whose sum is σ = 400678279680. Its totient is φ = 28593202176.

The previous prime is 125153610529. The next prime is 125153610541. The reversal of 125153610540 is 45016351521.

125153610540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (125153610541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 846804 + ... + 983556.

It is an arithmetic number, because the mean of its divisors is an integer number (4173732080).

Almost surely, 2125153610540 is an apocalyptic number.

125153610540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125153610540 is an abundant number, since it is smaller than the sum of its proper divisors (275524669140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125153610540 is a wasteful number, since it uses less digits than its factorization.

125153610540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138951 (or 138949 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 125153610540 in words is "one hundred twenty-five billion, one hundred fifty-three million, six hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2179 4358 6537 8716 10895 13074 15253 21790 26148 30506 32685 43580 45759 61012 65370 76265 91518 130740 136753 152530 183036 228795 273506 305060 410259 457590 547012 683765 820518 915180 957271 1367530 1641036 1914542 2051295 2735060 2871813 3829084 4102590 4786355 5743626 8205180 9572710 11487252 14359065 19145420 28718130 57436260 297984787 595969574 893954361 1191939148 1489923935 1787908722 2085893509 2979847870 3575817444 4171787018 4469771805 5959695740 6257680527 8343574036 8939543610 10429467545 12515361054 17879087220 20858935090 25030722108 31288402635 41717870180 62576805270 125153610540