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132504736143 = 31367181128001
BaseRepresentation
bin111101101100111100…
…1011101000110001111
3110200000111001000200010
41323121321131012033
54132332203024033
6140512152204303
712400406450043
oct1733171350617
9420014030603
10132504736143
11512165184aa
122181b699693
13c658aa1920
1465addd0023
1536a7bc7863
hex1ed9e5d18f

132504736143 has 32 divisors (see below), whose sum is σ = 193216488192. Its totient is φ = 80277120000.

The previous prime is 132504736123. The next prime is 132504736163. The reversal of 132504736143 is 341637405231.

It is a Cunningham number, because it is equal to 3640122-1.

It is an interprime number because it is at equal distance from previous prime (132504736123) and next prime (132504736163).

It is not a de Polignac number, because 132504736143 - 29 = 132504735631 is a prime.

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 (132504736123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4718143 + ... + 4746143.

It is an arithmetic number, because the mean of its divisors is an integer number (6038015256).

Almost surely, 2132504736143 is an apocalyptic number.

132504736143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132504736143 is a deficient number, since it is larger than the sum of its proper divisors (60711752049).

132504736143 is a wasteful number, since it uses less digits than its factorization.

132504736143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29895.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 132504736143 in words is "one hundred thirty-two billion, five hundred four million, seven hundred thirty-six thousand, one hundred forty-three".

Divisors: 1 3 13 39 67 201 871 1811 2613 5433 23543 28001 70629 84003 121337 364011 364013 1092039 1577381 1876067 4732143 5628201 24388871 50709811 73166613 152129433 659227543 1977682629 3397557337 10192672011 44168245381 132504736143