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132146445160125 = 325311223347137999
BaseRepresentation
bin11110000010111110111101…
…111011000000111010111101
3122022220002001222021002001100
4132002332331323000322331
5114310041404430111000
61145015123331003313
736556160046425244
oct3602767573007275
9568802058232040
10132146445160125
1139118aa1273370
12129a2a49139539
135897482a6b056
14248bcca24795b
151042674014a00
hex782fbdec0ebd

132146445160125 has 192 divisors, whose sum is σ = 261791502336000. Its totient is φ = 63599414256000.

The previous prime is 132146445160091. The next prime is 132146445160127. The reversal of 132146445160125 is 521061544641231.

132146445160125 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 6 + 4 + 4 + 516 + 0 + 125 = 666.

It is not a de Polignac number, because 132146445160125 - 27 = 132146445159997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132146445160127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 957520876 + ... + 957658874.

It is an arithmetic number, because the mean of its divisors is an integer number (1363497408000).

Almost surely, 2132146445160125 is an apocalyptic number.

132146445160125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132146445160125 is a deficient number, since it is larger than the sum of its proper divisors (129645057175875).

132146445160125 is a wasteful number, since it uses less digits than its factorization.

132146445160125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138601 (or 138588 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 132146445160125 in words is "one hundred thirty-two trillion, one hundred forty-six billion, four hundred forty-five million, one hundred sixty thousand, one hundred twenty-five".