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132126525 = 3352195743
BaseRepresentation
bin1111110000000…
…01011100111101
3100012121201112000
413320001130331
5232311022100
621035532513
73163025346
oct770013475
9305551460
10132126525
1168644683
12382ba139
13214b169b
14137950cd
15b8ed900
hex7e0173d

132126525 has 24 divisors (see below), whose sum is σ = 242722560. Its totient is φ = 70467120.

The previous prime is 132126517. The next prime is 132126539. The reversal of 132126525 is 525621231.

It is a happy number.

132126525 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 652 + 5 = 666.

It is not a de Polignac number, because 132126525 - 23 = 132126517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97197 + ... + 98546.

It is an arithmetic number, because the mean of its divisors is an integer number (10113440).

Almost surely, 2132126525 is an apocalyptic number.

132126525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132126525 is a deficient number, since it is larger than the sum of its proper divisors (110596035).

132126525 is a wasteful number, since it uses less digits than its factorization.

132126525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195762 (or 195751 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 132126525 is about 11494.6302680861. The cubic root of 132126525 is about 509.3269668785.

Adding to 132126525 its reverse (525621231), we get a palindrome (657747756).

It can be divided in two parts, 132126 and 525, that added together give a cube (132651 = 513).

The spelling of 132126525 in words is "one hundred thirty-two million, one hundred twenty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 195743 587229 978715 1761687 2936145 4893575 5285061 8808435 14680725 26425305 44042175 132126525