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132345733 = 1397104953
BaseRepresentation
bin1111110001101…
…10111110000101
3100020000212012211
413320312332011
5232340030413
621044343421
73164630422
oct770667605
9306025184
10132345733
1168784343
12383a4b71
132155a3b0
1413810d49
15b94383d
hex7e36f85

132345733 has 8 divisors (see below), whose sum is σ = 143996888. Its totient is φ = 120904704.

The previous prime is 132345721. The next prime is 132345737. The reversal of 132345733 is 337543231.

It can be written as a sum of positive squares in 4 ways, for example, as 49729 + 132296004 = 223^2 + 11502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132345733 - 221 = 130248581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132345695 and 132345704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132345737) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51216 + ... + 53737.

It is an arithmetic number, because the mean of its divisors is an integer number (17999611).

Almost surely, 2132345733 is an apocalyptic number.

132345733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132345733 is a deficient number, since it is larger than the sum of its proper divisors (11651155).

132345733 is a wasteful number, since it uses less digits than its factorization.

132345733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105063.

The product of its digits is 22680, while the sum is 31.

The square root of 132345733 is about 11504.1615513691. The cubic root of 132345733 is about 509.6084820351.

Adding to 132345733 its reverse (337543231), we get a palindrome (469888964).

The spelling of 132345733 in words is "one hundred thirty-two million, three hundred forty-five thousand, seven hundred thirty-three".

Divisors: 1 13 97 1261 104953 1364389 10180441 132345733