| Base | Representation |
|---|---|
| bin | 11110000011000010001111… |
| … | …101011101100110100000000 |
| 3 | 122022220102011020021000001000 |
| 4 | 132003002033223230310000 |
| 5 | 114310121111334022320 |
| 6 | 1145020504443412000 |
| 7 | 36556343211225060 |
| oct | 3603021753546400 |
| 9 | 568812136230030 |
| 10 | 132149964360960 |
| 11 | 3911a537815007 |
| 12 | 129a366b824000 |
| 13 | 58978c3b9b100 |
| 14 | 248c1417a33a0 |
| 15 | 10427cce65c90 |
| hex | 78308faecd00 |
132149964360960 has 3456 divisors, whose sum is σ = 604512080363520. Its totient is φ = 26737695129600.
The previous prime is 132149964360917. The next prime is 132149964361081. The reversal of 132149964360960 is 69063469941231.
132149964360960 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 9 + 9 + 6 + 4 + 3 + 609 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-3 number, since 3×1321499643609603 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 160962197350 + ... + 160962198170.
It is an arithmetic number, because the mean of its divisors is an integer number (174916689920).
Almost surely, 2132149964360960 is an apocalyptic number.
132149964360960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132149964360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302256040181760).
132149964360960 is an abundant number, since it is smaller than the sum of its proper divisors (472362116002560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132149964360960 is a wasteful number, since it uses less digits than its factorization.
132149964360960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1042 (or 1009 counting only the distinct ones).
The product of its (nonzero) digits is 45349632, while the sum is 63.
The spelling of 132149964360960 in words is "one hundred thirty-two trillion, one hundred forty-nine billion, nine hundred sixty-four million, three hundred sixty thousand, nine hundred sixty".
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