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137275160 = 235111013089
BaseRepresentation
bin10000010111010…
…10011100011000
3100120022022010012
420023222130120
5240120301120
621342141052
73254551061
oct1013523430
9316268105
10137275160
1170540950
1239b81788
1322595009
1414335568
15c0b91c5
hex82ea718

137275160 has 64 divisors (see below), whose sum is σ = 340394400. Its totient is φ = 49408000.

The previous prime is 137275139. The next prime is 137275181. The reversal of 137275160 is 61572731.

It is an interprime number because it is at equal distance from previous prime (137275139) and next prime (137275181).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42896 + ... + 45984.

Almost surely, 2137275160 is an apocalyptic number.

137275160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137275160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170197200).

137275160 is an abundant number, since it is smaller than the sum of its proper divisors (203119240).

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

137275160 is a wasteful number, since it uses less digits than its factorization.

137275160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 137275160 is about 11716.4482672865. The cubic root of 137275160 is about 515.8585735039.

The spelling of 137275160 in words is "one hundred thirty-seven million, two hundred seventy-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 3089 4040 4444 5555 6178 8888 11110 12356 15445 22220 24712 30890 33979 44440 61780 67958 123560 135916 169895 271832 311989 339790 623978 679580 1247956 1359160 1559945 2495912 3119890 3431879 6239780 6863758 12479560 13727516 17159395 27455032 34318790 68637580 137275160