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131345760 = 25357133197
BaseRepresentation
bin1111101010000…
…10110101100000
3100011011001111210
413311002311200
5232111031020
621011110120
73153264150
oct765026540
9304131453
10131345760
1168161017
1237ba2340
132129a1b0
1413630760
15b7e73e0
hex7d42d60

131345760 has 384 divisors, whose sum is σ = 531062784. Its totient is φ = 26542080.

The previous prime is 131345759. The next prime is 131345783. The reversal of 131345760 is 67543131.

Adding to 131345760 its reverse (67543131), we get a palindrome (198888891).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354032 + ... + 1354128.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 2131345760 is an apocalyptic number.

131345760 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 131345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265531392).

131345760 is an abundant number, since it is smaller than the sum of its proper divisors (399717024).

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

131345760 is a wasteful number, since it uses less digits than its factorization.

131345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 131345760 is about 11460.6177843954. The cubic root of 131345760 is about 508.3217421586.

The spelling of 131345760 in words is "one hundred thirty-one million, three hundred forty-five thousand, seven hundred sixty".