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131572125 = 3253116953
BaseRepresentation
bin1111101011110…
…10000110011101
3100011120120000200
413311322012131
5232140302000
621020014113
73155226126
oct765720635
9304516020
10131572125
11682a60a3
1238091339
1321349239
141368d04d
15b83e500
hex7d7a19d

131572125 has 24 divisors (see below), whose sum is σ = 237182712. Its totient is φ = 70171200.

The previous prime is 131572109. The next prime is 131572193. The reversal of 131572125 is 521275131.

It can be written as a sum of positive squares in 4 ways, for example, as 21511044 + 110061081 = 4638^2 + 10491^2 .

It is not a de Polignac number, because 131572125 - 24 = 131572109 is a prime.

It is a super-2 number, since 2×1315721252 = 34622448154031250, which contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 57352 + ... + 59601.

It is an arithmetic number, because the mean of its divisors is an integer number (9882613).

Almost surely, 2131572125 is an apocalyptic number.

131572125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131572125 is a deficient number, since it is larger than the sum of its proper divisors (105610587).

131572125 is a wasteful number, since it uses less digits than its factorization.

131572125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116974 (or 116961 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 131572125 is about 11470.4893095282. The cubic root of 131572125 is about 508.6135932534.

The spelling of 131572125 in words is "one hundred thirty-one million, five hundred seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 116953 350859 584765 1052577 1754295 2923825 5262885 8771475 14619125 26314425 43857375 131572125