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135722500 = 22542332
BaseRepresentation
bin10000001011011…
…11011000000100
3100110101102021021
420011233120010
5234221110000
621245000524
73235423264
oct1005573004
9313342237
10135722500
116a680361
1239553144
1322170394
141404d7a4
15bdae11a
hex816f604

135722500 has 45 divisors (see below), whose sum is σ = 298077241. Its totient is φ = 54056000.

The previous prime is 135722459. The next prime is 135722501. The reversal of 135722500 is 5227531.

The square root of 135722500 is 11650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 131194116 + 4528384 = 11454^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135722501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 582384 + ... + 582616.

Almost surely, 2135722500 is an apocalyptic number.

135722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135722500 is the 11650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135722500

135722500 is an abundant number, since it is smaller than the sum of its proper divisors (162354741).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135722500 is an frugal number, since it uses more digits than its factorization.

135722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The cubic root of 135722500 is about 513.9063100444.

Multiplying 135722500 by its sum of digits (25), we get a square (3393062500 = 582502).

135722500 divided by its sum of digits (25) gives a square (5428900 = 23302).

The spelling of 135722500 in words is "one hundred thirty-five million, seven hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 625 932 1165 1250 2330 2500 4660 5825 11650 23300 29125 54289 58250 108578 116500 145625 217156 271445 291250 542890 582500 1085780 1357225 2714450 5428900 6786125 13572250 27144500 33930625 67861250 135722500