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132126831 = 32432231531
BaseRepresentation
bin1111110000000…
…01100001101111
3100012121201221100
413320001201233
5232311024311
621035534143
73163026264
oct770014157
9305551840
10132126831
1168644931
12382ba353
13214b1875
141379526b
15b8eda56
hex7e0186f

132126831 has 24 divisors (see below), whose sum is σ = 196292096. Its totient is φ = 85594320.

The previous prime is 132126739. The next prime is 132126833. The reversal of 132126831 is 138621231.

It is a happy number.

It is not a de Polignac number, because 132126831 - 213 = 132118639 is a prime.

It is a super-2 number, since 2×1321268312 = 34914998940205122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132126795 and 132126804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132126833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85536 + ... + 87066.

Almost surely, 2132126831 is an apocalyptic number.

132126831 is a deficient number, since it is larger than the sum of its proper divisors (64165265).

132126831 is a wasteful number, since it uses less digits than its factorization.

132126831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1800 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132126831 is about 11494.6435786413. The cubic root of 132126831 is about 509.3273600721.

The spelling of 132126831 in words is "one hundred thirty-two million, one hundred twenty-six thousand, eight hundred thirty-one".

Divisors: 1 3 9 43 129 223 387 669 1531 2007 4593 9589 13779 28767 65833 86301 197499 341413 592497 1024239 3072717 14680759 44042277 132126831