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131534149088 = 25191459148279
BaseRepresentation
bin111101010000000001…
…0111101010111100000
3110120111211201002112102
41322200002331113200
54123340220232323
6140232001145532
712334352551136
oct1724002752740
9416454632472
10131534149088
1150868664041
12215aa62b2a8
13c532992464
14651b13b756
15364c8a6328
hex1ea00bd5e0

131534149088 has 48 divisors (see below), whose sum is σ = 272775888000. Its totient is φ = 62262525312.

The previous prime is 131534149049. The next prime is 131534149121. The reversal of 131534149088 is 880941435131.

It is a super-2 number, since 2×1315341490882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 812933 + ... + 961211.

It is an arithmetic number, because the mean of its divisors is an integer number (5682831000).

Almost surely, 2131534149088 is an apocalyptic number.

It is an amenable number.

131534149088 is an abundant number, since it is smaller than the sum of its proper divisors (141241738912).

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

131534149088 is a wasteful number, since it uses less digits than its factorization.

131534149088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149767 (or 149759 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 131534149088 in words is "one hundred thirty-one billion, five hundred thirty-four million, one hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1459 2918 5836 11672 23344 27721 46688 55442 110884 148279 221768 296558 443536 593116 887072 1186232 2372464 2817301 4744928 5634602 11269204 22538408 45076816 90153632 216339061 432678122 865356244 1730712488 3461424976 4110442159 6922849952 8220884318 16441768636 32883537272 65767074544 131534149088