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137803856 = 2423439853
BaseRepresentation
bin10000011011010…
…11100001010000
3100121022011100112
420031223201100
5240234210411
621401340452
73262212341
oct1015534120
9317264315
10137803856
1170872093
123a197728
132271b858
14144320c8
15c170b8b
hex836b850

137803856 has 40 divisors (see below), whose sum is σ = 279565440. Its totient is φ = 65678976.

The previous prime is 137803849. The next prime is 137803867. The reversal of 137803856 is 658308731.

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 7 ways as a sum of consecutive naturals, for example, 161126 + ... + 161978.

It is an arithmetic number, because the mean of its divisors is an integer number (6989136).

Almost surely, 2137803856 is an apocalyptic number.

137803856 is a gapful number since it is divisible by the number (16) 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 137803856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139782720).

137803856 is an abundant number, since it is smaller than the sum of its proper divisors (141761584).

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

137803856 is a wasteful number, since it uses less digits than its factorization.

137803856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 137803856 is about 11738.9887128321. The cubic root of 137803856 is about 516.5199774109.

The spelling of 137803856 in words is "one hundred thirty-seven million, eight hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 439 853 878 1706 1756 3412 3512 6824 7024 10097 13648 19619 20194 39238 40388 78476 80776 156952 161552 313904 374467 748934 1497868 2995736 5991472 8612741 17225482 34450964 68901928 137803856