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135772901 = 11316312
BaseRepresentation
bin10000001011110…
…11101011100101
3100110110222101222
420011323223211
5234224213101
621250030125
73236023235
oct1005735345
9313428358
10135772901
116a705210
1239578345
132218a2c4
1414063cc5
15bdbe01b
hex817bae5

135772901 has 12 divisors (see below), whose sum is σ = 153136512. Its totient is φ = 119259000.

The previous prime is 135772883. The next prime is 135772913. The reversal of 135772901 is 109277531.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-135772901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135772001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214856 + ... + 215486.

It is an arithmetic number, because the mean of its divisors is an integer number (12761376).

Almost surely, 2135772901 is an apocalyptic number.

135772901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135772901 is a deficient number, since it is larger than the sum of its proper divisors (17363611).

135772901 is an frugal number, since it uses more digits than its factorization.

135772901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 135772901 is about 11652.1629322628. The cubic root of 135772901 is about 513.9699157752.

The spelling of 135772901 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, nine hundred one".

Divisors: 1 11 31 341 631 6941 19561 215171 398161 4379771 12342991 135772901