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131272506750 = 23537211253557
BaseRepresentation
bin111101001000001110…
…0110111110101111110
3110112211121101021201110
41322100130313311332
54122321230204000
6140150013222450
712325024616400
oct1722034676576
9415747337643
10131272506750
11507439a9300
1221536a91a26
13c4c07047c8
1464d44b0b70
153634922850
hex1e90737d7e

131272506750 has 576 divisors, whose sum is σ = 427622255424. Its totient is φ = 26714688000.

The previous prime is 131272506749. The next prime is 131272506763. The reversal of 131272506750 is 57605272131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131272506699 and 131272506708.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 235677472 + ... + 235678028.

It is an arithmetic number, because the mean of its divisors is an integer number (742399749).

Almost surely, 2131272506750 is an apocalyptic number.

131272506750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131272506750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213811127712).

131272506750 is an abundant number, since it is smaller than the sum of its proper divisors (296349748674).

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

131272506750 is a wasteful number, since it uses less digits than its factorization.

131272506750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

Adding to 131272506750 its reverse (57605272131), we get a palindrome (188877778881).

The spelling of 131272506750 in words is "one hundred thirty-one billion, two hundred seventy-two million, five hundred six thousand, seven hundred fifty".