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137113125 = 35473127
BaseRepresentation
bin10000010110000…
…10111000100101
3100120000001211220
420023002320211
5240100110000
621334450553
73253304502
oct1013027045
9316001756
10137113125
1170440136
1239b03a59
1322539336
14142d24a9
15c0861a0
hex82c2e25

137113125 has 20 divisors (see below), whose sum is σ = 228451872. Its totient is φ = 73126000.

The previous prime is 137113103. The next prime is 137113127. The reversal of 137113125 is 521311731.

It is a happy number.

It is not a de Polignac number, because 137113125 - 211 = 137111077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137113095 and 137113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34689 + ... + 38438.

Almost surely, 2137113125 is an apocalyptic number.

137113125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137113125 is a deficient number, since it is larger than the sum of its proper divisors (91338747).

137113125 is an frugal number, since it uses more digits than its factorization.

137113125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73150 (or 73135 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 137113125 is about 11709.5313740559. The cubic root of 137113125 is about 515.6555262001.

Adding to 137113125 its reverse (521311731), we get a palindrome (658424856).

It can be divided in two parts, 13711 and 3125, that added together give a triangular number (16836 = T183).

The spelling of 137113125 in words is "one hundred thirty-seven million, one hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 625 1875 73127 219381 365635 1096905 1828175 5484525 9140875 27422625 45704375 137113125