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137108125 = 547211237
BaseRepresentation
bin10000010110000…
…01101010011101
3100112222210222201
420023001222131
5240044430000
621334411501
73253254100
oct1013015235
9315883881
10137108125
1170437400
1239b00b91
1322536c8b
14142d0737
15c08496a
hex82c1a9d

137108125 has 90 divisors (see below), whose sum is σ = 224988918. Its totient is φ = 83160000.

The previous prime is 137108119. The next prime is 137108131. The reversal of 137108125 is 521801731.

It is an interprime number because it is at equal distance from previous prime (137108119) and next prime (137108131).

It can be written as a sum of positive squares in 5 ways, for example, as 25826724 + 111281401 = 5082^2 + 10549^2 .

It is not a de Polignac number, because 137108125 - 211 = 137106077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137108093 and 137108102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3705607 + ... + 3705643.

Almost surely, 2137108125 is an apocalyptic number.

It is an amenable number.

137108125 is a deficient number, since it is larger than the sum of its proper divisors (87880793).

137108125 is an equidigital number, since it uses as much as digits as its factorization.

137108125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 137108125 is about 11709.3178708241. The cubic root of 137108125 is about 515.6492581180.

Adding to 137108125 its reverse (521801731), we get a palindrome (658909856).

The spelling of 137108125 in words is "one hundred thirty-seven million, one hundred eight thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 37 49 55 77 121 125 175 185 245 259 275 385 407 539 605 625 847 875 925 1225 1295 1375 1813 1925 2035 2695 2849 3025 4235 4375 4477 4625 5929 6125 6475 6875 9065 9625 10175 13475 14245 15125 19943 21175 22385 23125 29645 30625 31339 32375 45325 48125 50875 67375 71225 75625 99715 105875 111925 148225 156695 161875 219373 226625 254375 336875 356125 498575 529375 559625 741125 783475 1096865 1133125 1780625 2492875 2798125 3705625 3917375 5484325 12464375 19586875 27421625 137108125