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132125375752875 = 32536710223171467
BaseRepresentation
bin11110000010101011010110…
…000101100110101010101011
3122022211001200121110021211200
4132002223112011212222223
5114304220232143043000
61145001320520255243
736554512660423041
oct3602532605465253
9568731617407750
10132125375752875
113911006a1248aa
121299a949011523
1358954a596447b
14248ac8bd08391
151041d3e457500
hex782ad6166aab

132125375752875 has 96 divisors (see below), whose sum is σ = 241757962288128. Its totient is φ = 69407927899200.

The previous prime is 132125375752871. The next prime is 132125375752883. The reversal of 132125375752875 is 578257573521231.

132125375752875 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 5 + 37 + 5 + 7 + 528 + 75 = 666.

It is not a de Polignac number, because 132125375752875 - 22 = 132125375752871 is a prime.

It is a super-2 number, since 2×1321253757528752 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132125375752871) 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, 770472892 + ... + 770644358.

It is an arithmetic number, because the mean of its divisors is an integer number (2518312107168).

Almost surely, 2132125375752875 is an apocalyptic number.

132125375752875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132125375752875 is a deficient number, since it is larger than the sum of its proper divisors (109632586535253).

132125375752875 is a wasteful number, since it uses less digits than its factorization.

132125375752875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181778 (or 181765 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 132125375752875 in words is "one hundred thirty-two trillion, one hundred twenty-five billion, three hundred seventy-five million, seven hundred fifty-two thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 67 75 125 201 225 335 375 603 1005 1125 1675 3015 5025 8375 10223 15075 25125 30669 51115 75375 92007 153345 171467 255575 460035 514401 684941 766725 857335 1277875 1543203 2054823 2300175 2572005 3424705 3833625 4286675 6164469 7716015 10274115 11488289 11500875 12860025 17123525 21433375 30822345 34464867 38580075 51370575 57441445 64300125 85617625 103394601 154111725 172324335 192900375 256852875 287207225 516973005 770558625 861621675 1436036125 1752907141 2584865025 4308108375 5258721423 8764535705 12924325125 15776164269 26293607115 43822678525 78880821345 117444778447 131468035575 219113392625 352334335341 394404106725 587223892235 657340177875 1057003006023 1761671676705 1972020533625 2936119461175 5285015030115 8808358383525 14680597305875 26425075150575 44041791917625 132125375752875