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137728660 = 225311931151
BaseRepresentation
bin10000011010110…
…01001010010100
3100121011100012111
420031121022110
5240224304120
621400000404
73261450166
oct1015311224
9317140174
10137728660
1170820643
123a160104
13226c3564
1414412936
15c15875a
hex8359294

137728660 has 48 divisors (see below), whose sum is σ = 300367872. Its totient is φ = 52992000.

The previous prime is 137728649. The next prime is 137728673. The reversal of 137728660 is 66827731.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119085 + ... + 120235.

It is an arithmetic number, because the mean of its divisors is an integer number (6257664).

Almost surely, 2137728660 is an apocalyptic number.

137728660 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 137728660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150183936).

137728660 is an abundant number, since it is smaller than the sum of its proper divisors (162639212).

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

137728660 is a wasteful number, since it uses less digits than its factorization.

137728660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 137728660 is about 11735.7854445282. The cubic root of 137728660 is about 516.4260097862.

The spelling of 137728660 in words is "one hundred thirty-seven million, seven hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1151 1930 2302 3860 4604 5755 5983 11510 11966 23020 23932 29915 35681 59830 71362 119660 142724 178405 222143 356810 444286 713620 888572 1110715 2221430 4442860 6886433 13772866 27545732 34432165 68864330 137728660