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135258450625 = 544723132
BaseRepresentation
bin111110111111000001…
…0000010101011000001
3110221010101122012210101
41331332002002223001
54204002130410000
6142045322002401
712525554601124
oct1757602025301
9427111565711
10135258450625
11523a99619a1
1222269946401
13c9a744438c
146791a063bb
1537b981ce6a
hex1f7e082ac1

135258450625 has 45 divisors (see below), whose sum is σ = 173245114911. Its totient is φ = 105566136000.

The previous prime is 135258450581. The next prime is 135258450661. The reversal of 135258450625 is 526054852531.

The square root of 135258450625 is 367775.

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 129715945921 + 5542504704 = 360161^2 + 74448^2 .

It is not a de Polignac number, because 135258450625 - 225 = 135224896193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 432135469 + ... + 432135781.

Almost surely, 2135258450625 is an apocalyptic number.

135258450625 is the 367775-th square number.

135258450625 is the 183888-th centered octagonal number.

It is an amenable number.

135258450625 is a deficient number, since it is larger than the sum of its proper divisors (37986664286).

135258450625 is an frugal number, since it uses more digits than its factorization.

135258450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 135258450625 in words is "one hundred thirty-five billion, two hundred fifty-eight million, four hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 313 625 1175 1565 2209 5875 7825 11045 14711 29375 39125 55225 73555 97969 195625 276125 367775 489845 691417 1380625 1838875 2449225 3457085 4604543 9194375 12246125 17285425 23022715 61230625 86427125 115113575 216413521 432135625 575567875 1082067605 2877839375 5410338025 27051690125 135258450625