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131539531456 = 265359837919
BaseRepresentation
bin111101010000001011…
…1011111011011000000
3110120112012211112202101
41322200113133123000
54123343110001311
6140232312400144
712334446366154
oct1724027373300
9416465745671
10131539531456
11508706aa983
12215b03a6054
13c533b282a8
14651bb3d064
15364d0baec1
hex1ea05df6c0

131539531456 has 112 divisors (see below), whose sum is σ = 273749414400. Its totient is φ = 62662925312.

The previous prime is 131539531451. The next prime is 131539531469. The reversal of 131539531456 is 654135935131.

It is not an unprimeable number, because it can be changed into a prime (131539531451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16606665 + ... + 16614583.

It is an arithmetic number, because the mean of its divisors is an integer number (2444191200).

Almost surely, 2131539531456 is an apocalyptic number.

131539531456 is a gapful number since it is divisible by the number (16) 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 131539531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136874707200).

131539531456 is an abundant number, since it is smaller than the sum of its proper divisors (142209882944).

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

131539531456 is an equidigital number, since it uses as much as digits as its factorization.

131539531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8116 counting only the distinct ones).

The product of its digits is 729000, while the sum is 46.

The spelling of 131539531456 in words is "one hundred thirty-one billion, five hundred thirty-nine million, five hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 59 64 83 106 118 166 212 236 332 424 472 664 848 944 1328 1696 1888 2656 3127 3392 3776 4399 4897 5312 6254 7919 8798 9794 12508 15838 17596 19588 25016 31676 35192 39176 50032 63352 70384 78352 100064 126704 140768 156704 200128 253408 259541 281536 313408 419707 467221 506816 519082 657277 839414 934442 1038164 1314554 1678828 1868884 2076328 2629108 3357656 3737768 4152656 5258216 6715312 7475536 8305312 10516432 13430624 14951072 16610624 21032864 24762713 26861248 29902144 34835681 38779343 42065728 49525426 69671362 77558686 99050852 139342724 155117372 198101704 278685448 310234744 396203408 557370896 620469488 792406816 1114741792 1240938976 1584813632 2055305179 2229483584 2481877952 4110610358 8221220716 16442441432 32884882864 65769765728 131539531456