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135732125113 = 1314936993257
BaseRepresentation
bin111111001101001000…
…0111101110110111001
3110222100101221101000221
41332122100331312321
54210434411000423
6142204322300041
712543366012244
oct1763220756671
9428311841027
10135732125113
1152622278612
12223804b7621
13ca5160cb40
1467d88a825b
1537e61d5e5d
hex1f9a43ddb9

135732125113 has 8 divisors (see below), whose sum is σ = 146270984328. Its totient is φ = 125207255424.

The previous prime is 135732125099. The next prime is 135732125131. The reversal of 135732125113 is 311521237531.

It can be written as a sum of positive squares in 4 ways, for example, as 1473638544 + 134258486569 = 38388^2 + 366413^2 .

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 135732125113 - 213 = 135732116921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135732125173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3477220 + ... + 3516037.

It is an arithmetic number, because the mean of its divisors is an integer number (18283873041).

Almost surely, 2135732125113 is an apocalyptic number.

135732125113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135732125113 is a deficient number, since it is larger than the sum of its proper divisors (10538859215).

135732125113 is a wasteful number, since it uses less digits than its factorization.

135732125113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994763.

The product of its digits is 18900, while the sum is 34.

The spelling of 135732125113 in words is "one hundred thirty-five billion, seven hundred thirty-two million, one hundred twenty-five thousand, one hundred thirteen".

Divisors: 1 13 1493 19409 6993257 90912341 10440932701 135732125113