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137841144 = 23374319081
BaseRepresentation
bin10000011011101…
…00100111111000
3100121101001111120
420031310213320
5240241404034
621402225240
73262426140
oct1015644770
9317331446
10137841144
1170898101
123a1b5220
132273280c
1414441920
15c17bc49
hex83749f8

137841144 has 64 divisors (see below), whose sum is σ = 403011840. Its totient is φ = 38465280.

The previous prime is 137841103. The next prime is 137841167. The reversal of 137841144 is 441148731.

137841144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (6297060).

Almost surely, 2137841144 is an apocalyptic number.

137841144 is a gapful number since it is divisible by the number (14) 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 137841144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201505920).

137841144 is an abundant number, since it is smaller than the sum of its proper divisors (265170696).

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

137841144 is a wasteful number, since it uses less digits than its factorization.

137841144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19140 (or 19136 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 137841144 is about 11740.5768171756. The cubic root of 137841144 is about 516.5665611582.

Adding to 137841144 its reverse (441148731), we get a palindrome (578989875).

The spelling of 137841144 in words is "one hundred thirty-seven million, eight hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 19081 38162 57243 76324 114486 133567 152648 228972 267134 400701 457944 534268 801402 820483 1068536 1602804 1640966 2461449 3205608 3281932 4922898 5743381 6563864 9845796 11486762 17230143 19691592 22973524 34460286 45947048 68920572 137841144