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137025870 = 23529239659
BaseRepresentation
bin10000010101011…
…01100101001110
3100112211122011020
420022231211032
5240034311440
621332535010
73252462222
oct1012554516
9315748136
10137025870
1170390623
1239a81466
13225086c7
14142ac782
15c06a3d0
hex82ad94e

137025870 has 64 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 35079296.

The previous prime is 137025857. The next prime is 137025871. The reversal of 137025870 is 78520731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137025871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207601 + ... + 208259.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2137025870 is an apocalyptic number.

137025870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137025870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

137025870 is an abundant number, since it is smaller than the sum of its proper divisors (205118130).

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

137025870 is a wasteful number, since it uses less digits than its factorization.

137025870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 137025870 is about 11705.8049701847. The cubic root of 137025870 is about 515.5461200181.

The spelling of 137025870 in words is "one hundred thirty-seven million, twenty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 239 290 435 478 659 717 870 1195 1318 1434 1977 2390 3295 3585 3954 6590 6931 7170 9885 13862 19111 19770 20793 34655 38222 41586 57333 69310 95555 103965 114666 157501 191110 207930 286665 315002 472503 573330 787505 945006 1575010 2362515 4567529 4725030 9135058 13702587 22837645 27405174 45675290 68512935 137025870