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132131157 = 31713718911
BaseRepresentation
bin1111110000000…
…10100101010101
3100012121221212120
413320002211111
5232311144112
621040010153
73163045014
oct770024525
9305557776
10132131157
1168648104
1238300959
13214b3822
1413796a7b
15b8eee8c
hex7e02955

132131157 has 16 divisors (see below), whose sum is σ = 187909632. Its totient is φ = 82296320.

The previous prime is 132131143. The next prime is 132131171. The reversal of 132131157 is 751131231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132131143) and next prime (132131171).

It is not a de Polignac number, because 132131157 - 24 = 132131141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (11744352).

Almost surely, 2132131157 is an apocalyptic number.

132131157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132131157 is a deficient number, since it is larger than the sum of its proper divisors (55778475).

132131157 is a wasteful number, since it uses less digits than its factorization.

132131157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19068.

The product of its digits is 630, while the sum is 24.

The square root of 132131157 is about 11494.8317517048. The cubic root of 132131157 is about 509.3329186860.

Adding to 132131157 its reverse (751131231), we get a palindrome (883262388).

The spelling of 132131157 in words is "one hundred thirty-two million, one hundred thirty-one thousand, one hundred fifty-seven".

Divisors: 1 3 17 51 137 411 2329 6987 18911 56733 321487 964461 2590807 7772421 44043719 132131157