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134979086025 = 32527234992
BaseRepresentation
bin111110110110101100…
…0010110011011001001
3110220101220222000121100
41331231120112123021
54202414121223100
6142001502132013
712515623205100
oct1755530263311
9426356860540
10134979086025
11522761a2163
12221b0281009
13c9615bcc94
146766885037
1537a0038400
hex1f6d6166c9

134979086025 has 81 divisors (see below), whose sum is σ = 281314374471. Its totient is φ = 61687090080.

The previous prime is 134979086017. The next prime is 134979086101. The reversal of 134979086025 is 520680979431.

The square root of 134979086025 is 367395.

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

134979086025 is a `hidden beast` number, since 1 + 3 + 497 + 90 + 8 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48592470969 + 86386615056 = 220437^2 + 293916^2 .

It is not a de Polignac number, because 134979086025 - 23 = 134979086017 is a prime.

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, 38574726 + ... + 38578224.

It is a 1-persistent number, because it is pandigital, but 2⋅134979086025 = 269958172050 is not.

Almost surely, 2134979086025 is an apocalyptic number.

134979086025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134979086025 is the 367395-th square number.

134979086025 is the 183698-th centered octagonal number.

It is an amenable number.

134979086025 is an abundant number, since it is smaller than the sum of its proper divisors (146335288446).

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

134979086025 is an frugal number, since it uses more digits than its factorization.

134979086025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 134979086025 in words is "one hundred thirty-four billion, nine hundred seventy-nine million, eighty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3499 3675 10497 11025 17495 24493 31491 52485 73479 87475 122465 157455 171451 220437 262425 367395 514353 612325 787275 857255 1102185 1543059 1836975 2571765 4286275 5510925 7715295 12243001 12858825 36729003 38576475 61215005 85701007 110187009 183645015 257103021 306075025 428505035 550935045 599907049 771309063 918225075 1285515105 1799721147 2142525175 2754675225 2999535245 3856545315 5399163441 6427575525 8998605735 14997676225 19282726575 26995817205 44993028675 134979086025