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131376115360 = 2557503233201
BaseRepresentation
bin111101001011010100…
…0000110111010100000
3110120002211100011000101
41322112220012322200
54123024241142420
6140204154032144
712330423361330
oct1722650067240
9416084304011
10131376115360
1150797434a56
1221565718654
13c50900c989
1465041610c0
15363da8b60a
hex1e96a06ea0

131376115360 has 96 divisors (see below), whose sum is σ = 355422235392. Its totient is φ = 44953497600.

The previous prime is 131376115319. The next prime is 131376115361. The reversal of 131376115360 is 63511673131.

It is not an unprimeable number, because it can be changed into a prime (131376115361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446760 + ... + 679960.

It is an arithmetic number, because the mean of its divisors is an integer number (3702314952).

Almost surely, 2131376115360 is an apocalyptic number.

131376115360 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 131376115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177711117696).

131376115360 is an abundant number, since it is smaller than the sum of its proper divisors (224046120032).

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

131376115360 is a wasteful number, since it uses less digits than its factorization.

131376115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233726 (or 233718 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

Adding to 131376115360 its reverse (63511673131), we get a palindrome (194887788491).

The spelling of 131376115360 in words is "one hundred thirty-one billion, three hundred seventy-six million, one hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 503 560 1006 1120 2012 2515 3521 4024 5030 7042 8048 10060 14084 16096 17605 20120 28168 35210 40240 56336 70420 80480 112672 140840 233201 281680 466402 563360 932804 1166005 1632407 1865608 2332010 3264814 3731216 4664020 6529628 7462432 8162035 9328040 13059256 16324070 18656080 26118512 32648140 37312160 52237024 65296280 117300103 130592560 234600206 261185120 469200412 586500515 821100721 938400824 1173001030 1642201442 1876801648 2346002060 3284402884 3753603296 4105503605 4692004120 6568805768 8211007210 9384008240 13137611536 16422014420 18768016480 26275223072 32844028840 65688057680 131376115360