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133820614225 = 5223231812
BaseRepresentation
bin111110010100001010…
…1001000011001010001
3110210102012002120001101
41330220111020121101
54143031034123400
6141250520104401
712445125311224
oct1745025103121
9423365076041
10133820614225
1151831280151
1221b28305101
13c8085a8acc
146696a855bb
1537334a256a
hex1f28548651

133820614225 has 27 divisors (see below), whose sum is σ = 173520468849. Its totient is φ = 102369669600.

The previous prime is 133820614141. The next prime is 133820614241. The reversal of 133820614225 is 522416028331.

The square root of 133820614225 is 365815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49088390481 + 84732223744 = 221559^2 + 291088^2 .

It is not a de Polignac number, because 133820614225 - 29 = 133820613713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42067135 + ... + 42070315.

Almost surely, 2133820614225 is an apocalyptic number.

133820614225 is the 365815-th square number.

133820614225 is the 182908-th centered octagonal number.

It is an amenable number.

133820614225 is a deficient number, since it is larger than the sum of its proper divisors (39699854624).

133820614225 is an frugal number, since it uses more digits than its factorization.

133820614225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 133820614225 in words is "one hundred thirty-three billion, eight hundred twenty million, six hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 3181 13225 15905 73163 79525 365815 1682749 1829075 8413745 10118761 42068725 50593805 232731503 252969025 1163657515 5352824569 5818287575 26764122845 133820614225