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137025198 = 23241832237
BaseRepresentation
bin10000010101011…
…01011010101110
3100112211121020100
420022231122232
5240034301243
621332531530
73252460242
oct1012553256
9315747210
10137025198
1170390072
1239a80ba6
13225082cb
14142ac422
15c06a0d3
hex82ad6ae

137025198 has 48 divisors (see below), whose sum is σ = 307930896. Its totient is φ = 44004480.

The previous prime is 137025197. The next prime is 137025209. The reversal of 137025198 is 891520731.

137025198 is a `hidden beast` number, since 137 + 0 + 2 + 519 + 8 = 666.

137025198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137025197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60136 + ... + 62372.

It is an arithmetic number, because the mean of its divisors is an integer number (6415227).

Almost surely, 2137025198 is an apocalyptic number.

137025198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137025198 is an abundant number, since it is smaller than the sum of its proper divisors (170905698).

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

137025198 is a wasteful number, since it uses less digits than its factorization.

137025198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 137025198 is about 11705.7762664421. The cubic root of 137025198 is about 515.5452772391.

The spelling of 137025198 in words is "one hundred thirty-seven million, twenty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 41 82 83 123 166 246 249 369 498 738 747 1494 2237 3403 4474 6711 6806 10209 13422 20133 20418 30627 40266 61254 91717 183434 185671 275151 371342 550302 557013 825453 1114026 1650906 1671039 3342078 7612511 15225022 22837533 45675066 68512599 137025198