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139520925625 = 546722232
BaseRepresentation
bin1000000111110000011…
…0000101111110111001
3111100010110020101020211
42001330012011332321
54241214324110000
6144032305351121
713036313205004
oct2017406057671
9440113211224
10139520925625
1154196a1a504
12230593384a1
1310206555733
146a77b6253b
153968b3d7ba
hex207c185fb9

139520925625 has 45 divisors (see below), whose sum is σ = 177783576201. Its totient is φ = 109457766000.

The previous prime is 139520925601. The next prime is 139520925631. The reversal of 139520925625 is 526529025931.

The square root of 139520925625 is 373525.

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

139520925625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10938440569 + 128582485056 = 104587^2 + 358584^2 .

It is not a de Polignac number, because 139520925625 - 215 = 139520892857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 625654264 + ... + 625654486.

Almost surely, 2139520925625 is an apocalyptic number.

139520925625 is the 373525-th square number.

139520925625 is the 186763-rd centered octagonal number.

It is an amenable number.

139520925625 is a deficient number, since it is larger than the sum of its proper divisors (38262650576).

139520925625 is an frugal number, since it uses more digits than its factorization.

139520925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 49.

Multiplying 139520925625 by its sum of digits (49), we get a square (6836525355625 = 26146752).

The spelling of 139520925625 in words is "one hundred thirty-nine billion, five hundred twenty million, nine hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 67 125 223 335 625 1115 1675 4489 5575 8375 14941 22445 27875 41875 49729 74705 112225 139375 248645 373525 561125 1001047 1243225 1867625 2805625 3331843 5005235 6216125 9338125 16659215 25026175 31080625 83296075 125130875 223233481 416480375 625654375 1116167405 2082401875 5580837025 27904185125 139520925625