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137790848 = 2713174871
BaseRepresentation
bin10000011011010…
…00010110000000
3100121021111111202
420031220112000
5240233301343
621401200332
73262126406
oct1015502600
9317244452
10137790848
1170863338
123a1900a8
1322715960
141442b476
15c16bdb8
hex8368580

137790848 has 64 divisors (see below), whose sum is σ = 313074720. Its totient is φ = 59842560.

The previous prime is 137790847. The next prime is 137790853. The reversal of 137790848 is 848097731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137790847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25853 + ... + 30723.

Almost surely, 2137790848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156537360).

137790848 is an abundant number, since it is smaller than the sum of its proper divisors (175283872).

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

137790848 is a wasteful number, since it uses less digits than its factorization.

137790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 137790848 is about 11738.4346486233. The cubic root of 137790848 is about 516.5037245922.

The spelling of 137790848 in words is "one hundred thirty-seven million, seven hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 4871 7072 9742 14144 19484 28288 38968 63323 77936 82807 126646 155872 165614 253292 311744 331228 506584 623488 662456 1013168 1076491 1324912 2026336 2152982 2649824 4052672 4305964 5299648 8105344 8611928 10599296 17223856 34447712 68895424 137790848