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136349255025 = 325210322392
BaseRepresentation
bin111111011111100001…
…1001000010101110001
3111000221102011211010100
41332333003020111301
54213220402130100
6142345445423013
712564601354644
oct1767703102561
9430842154110
10136349255025
1152909666435
122251310aa69
13cb1c425679
14685682da5b
153830489400
hex1fbf0c8571

136349255025 has 81 divisors (see below), whose sum is σ = 247646882379. Its totient is φ = 71712275040.

The previous prime is 136349254973. The next prime is 136349255071. The reversal of 136349255025 is 520552943631.

The square root of 136349255025 is 369255.

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

136349255025 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 92 + 550 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49085731809 + 87263523216 = 221553^2 + 295404^2 .

It is not a de Polignac number, because 136349255025 - 27 = 136349254897 is a prime.

It is a super-2 number, since 2×1363492550252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 570498856 + ... + 570499094.

Almost surely, 2136349255025 is an apocalyptic number.

136349255025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136349255025 is the 369255-th square number.

136349255025 is the 184628-th centered octagonal number.

It is an amenable number.

136349255025 is a deficient number, since it is larger than the sum of its proper divisors (111297627354).

136349255025 is an equidigital number, since it uses as much as digits as its factorization.

136349255025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 136349255025 in words is "one hundred thirty-six billion, three hundred forty-nine million, two hundred fifty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 225 239 309 515 717 927 1195 1545 2151 2575 3585 4635 5975 7725 10609 10755 17925 23175 24617 31827 53045 53775 57121 73851 95481 123085 159135 171363 221553 265225 285605 369255 477405 514089 615425 795675 856815 1107765 1428025 1846275 2387025 2535551 2570445 4284075 5538825 5883463 7606653 12677755 12852225 17650389 22819959 29417315 38033265 52951167 63388775 88251945 114099795 147086575 190166325 264755835 441259725 570498975 605996689 1323779175 1817990067 3029983445 5453970201 9089950335 15149917225 27269851005 45449751675 136349255025