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131200125 = 3537151331
BaseRepresentation
bin1111101000111…
…11010001111101
3100010212122201220
413310133101331
5232041401000
621004023553
73152116440
oct764372175
9303778656
10131200125
1168071661
1237b31bb9
1321248b14
14135d3657
15b7b91a0
hex7d1f47d

131200125 has 64 divisors (see below), whose sum is σ = 251916288. Its totient is φ = 59400000.

The previous prime is 131200117. The next prime is 131200141. The reversal of 131200125 is 521002131.

131200125 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 131200125 - 23 = 131200117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396210 + ... + 396540.

It is an arithmetic number, because the mean of its divisors is an integer number (3936192).

Almost surely, 2131200125 is an apocalyptic number.

131200125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131200125 is a deficient number, since it is larger than the sum of its proper divisors (120716163).

131200125 is a wasteful number, since it uses less digits than its factorization.

131200125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131200125 is about 11454.2623071065. The cubic root of 131200125 is about 508.1337984827.

Adding to 131200125 its reverse (521002131), we get a palindrome (652202256).

The spelling of 131200125 in words is "one hundred thirty-one million, two hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 151 175 331 375 453 525 755 875 993 1057 1655 2265 2317 2625 3171 3775 4965 5285 6951 8275 11325 11585 15855 18875 24825 26425 34755 41375 49981 56625 57925 79275 124125 132125 149943 173775 249905 289625 349867 396375 749715 868875 1049601 1249525 1749335 3748575 5248005 6247625 8746675 18742875 26240025 43733375 131200125