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137495064 = 23371635021
BaseRepresentation
bin10000011001000…
…00001000011000
3100120201110202210
420030200020120
5240144320224
621350555120
73256455150
oct1014401030
9316643683
10137495064
1170681093
123a068aa0
1322641135
1414391760
15c10e429
hex8320218

137495064 has 64 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 39035520.

The previous prime is 137495063. The next prime is 137495101. The reversal of 137495064 is 460594731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137495063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24874 + ... + 29894.

It is an arithmetic number, because the mean of its divisors is an integer number (6177060).

Almost surely, 2137495064 is an apocalyptic number.

137495064 is a gapful number since it is divisible by the number (14) 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 137495064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

137495064 is an abundant number, since it is smaller than the sum of its proper divisors (257836776).

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

137495064 is a wasteful number, since it uses less digits than its factorization.

137495064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137495064 is about 11725.8289259225. The cubic root of 137495064 is about 516.1338814911.

The spelling of 137495064 in words is "one hundred thirty-seven million, four hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4564 5021 6846 9128 10042 13692 15063 20084 27384 30126 35147 40168 60252 70294 105441 120504 140588 210882 281176 421764 818423 843528 1636846 2455269 3273692 4910538 5728961 6547384 9821076 11457922 17186883 19642152 22915844 34373766 45831688 68747532 137495064