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131302135152 = 24326197147139
BaseRepresentation
bin111101001001000110…
…1111001010101110000
3110112220200010120020200
41322102031321111300
54122401321311102
6140152552235200
712325534506516
oct1722215712560
9415820116220
10131302135152
11507596a5591
122154499bb00
13c4c68a95c6
1464d83c44b6
15363732651c
hex1e92379570

131302135152 has 60 divisors (see below), whose sum is σ = 367525409160. Its totient is φ = 43760018304.

The previous prime is 131302135147. The next prime is 131302135183. The reversal of 131302135152 is 251531203131.

131302135152 is a `hidden beast` number, since 1 + 3 + 1 + 302 + 1 + 351 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 818799 + ... + 965937.

It is an arithmetic number, because the mean of its divisors is an integer number (6125423486).

Almost surely, 2131302135152 is an apocalyptic number.

131302135152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131302135152 is an abundant number, since it is smaller than the sum of its proper divisors (236223274008).

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

131302135152 is a wasteful number, since it uses less digits than its factorization.

131302135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153350 (or 153341 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 131302135152 its reverse (251531203131), we get a palindrome (382833338283).

The spelling of 131302135152 in words is "one hundred thirty-one billion, three hundred two million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6197 12394 18591 24788 37182 49576 55773 74364 99152 111546 147139 148728 223092 294278 297456 441417 446184 588556 882834 892368 1177112 1324251 1765668 2354224 2648502 3531336 5297004 7062672 10594008 21188016 911820383 1823640766 2735461149 3647281532 5470922298 7294563064 8206383447 10941844596 14589126128 16412766894 21883689192 32825533788 43767378384 65651067576 131302135152