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137443082238 = 2327211127331337
BaseRepresentation
bin1000000000000000111…
…1101111111111111110
3111010202122101222222100
42000000033233333332
54222440412112423
6143050202125530
712633652631400
oct2000017577776
9433678358870
10137443082238
1153320044a70
12227794b08a6
13cc64c247c7
14691bc02b70
153896501343
hex20003efffe

137443082238 has 288 divisors, whose sum is σ = 383164674048. Its totient is φ = 35206617600.

The previous prime is 137443082237. The next prime is 137443082243. The reversal of 137443082238 is 832280344731.

137443082238 is a `hidden beast` number, since 1 + 374 + 43 + 0 + 8 + 2 + 238 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137443082193 and 137443082202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443082237) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 407842806 + ... + 407843142.

It is an arithmetic number, because the mean of its divisors is an integer number (1330432896).

Almost surely, 2137443082238 is an apocalyptic number.

137443082238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137443082238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191582337024).

137443082238 is an abundant number, since it is smaller than the sum of its proper divisors (245721591810).

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

137443082238 is a wasteful number, since it uses less digits than its factorization.

137443082238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 137443082238 in words is "one hundred thirty-seven billion, four hundred forty-three million, eighty-two thousand, two hundred thirty-eight".