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137873550 = 23521635639
BaseRepresentation
bin10000011011111…
…00100010001110
3100121102200221210
420031330202032
5240243423200
621403035250
73262622463
oct1015744216
9317380853
10137873550
117090a491
123a20bb26
13227444a9
141444d66a
15c186650
hex837c88e

137873550 has 48 divisors (see below), whose sum is σ = 344085120. Its totient is φ = 36534240.

The previous prime is 137873539. The next prime is 137873563. The reversal of 137873550 is 55378731.

137873550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137873499 and 137873508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21631 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (7168440).

Almost surely, 2137873550 is an apocalyptic number.

137873550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137873550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172042560).

137873550 is an abundant number, since it is smaller than the sum of its proper divisors (206211570).

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

137873550 is a wasteful number, since it uses less digits than its factorization.

137873550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 137873550 is about 11741.9568215864. The cubic root of 137873550 is about 516.6070390200.

The spelling of 137873550 in words is "one hundred thirty-seven million, eight hundred seventy-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 326 489 815 978 1630 2445 4075 4890 5639 8150 11278 12225 16917 24450 28195 33834 56390 84585 140975 169170 281950 422925 845850 919157 1838314 2757471 4595785 5514942 9191570 13787355 22978925 27574710 45957850 68936775 137873550