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137050848 = 25321143261
BaseRepresentation
bin10000010101100…
…11101011100000
3100112212220102100
420022303223200
5240041111343
621333250400
73252625104
oct1012635340
9315786370
10137050848
11703a8370
1239a93a00
1322516b9c
14142b7904
15c0729d3
hex82b3ae0

137050848 has 72 divisors (see below), whose sum is σ = 425178936. Its totient is φ = 41529600.

The previous prime is 137050841. The next prime is 137050861. The reversal of 137050848 is 848050731.

137050848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137050841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18463 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (5905263).

Almost surely, 2137050848 is an apocalyptic number.

137050848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137050848 is an abundant number, since it is smaller than the sum of its proper divisors (288128088).

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

137050848 is a wasteful number, since it uses less digits than its factorization.

137050848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43288 (or 43277 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137050848 is about 11706.8718281187. The cubic root of 137050848 is about 515.5774438565.

The spelling of 137050848 in words is "one hundred thirty-seven million, fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 43261 86522 129783 173044 259566 346088 389349 475871 519132 692176 778698 951742 1038264 1384352 1427613 1557396 1903484 2076528 2855226 3114792 3806968 4153056 4282839 5710452 6229584 7613936 8565678 11420904 12459168 15227872 17131356 22841808 34262712 45683616 68525424 137050848