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137805851124 = 2235457310231
BaseRepresentation
bin1000000001010111011…
…1100110100111110100
3111011200221000120100000
42000111313212213310
54224211244213444
6143150201351300
712645646256544
oct2002567464764
9434627016300
10137805851124
11534968a0667
122285aa98530
13ccc212b956
146954075324
1538b82ad469
hex2015de69f4

137805851124 has 72 divisors (see below), whose sum is σ = 362035780288. Its totient is φ = 45834621120.

The previous prime is 137805851111. The next prime is 137805851137. The reversal of 137805851124 is 421158508731.

137805851124 is a `hidden beast` number, since 1 + 3 + 7 + 80 + 58 + 511 + 2 + 4 = 666.

137805851124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137805851111) and next prime (137805851137).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137805851124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289089 + ... + 599319.

Almost surely, 2137805851124 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 137805851124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181017890144).

137805851124 is an abundant number, since it is smaller than the sum of its proper divisors (224229929164).

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

137805851124 is a wasteful number, since it uses less digits than its factorization.

137805851124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310707 (or 310693 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 137805851124 in words is "one hundred thirty-seven billion, eight hundred five million, eight hundred fifty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 457 486 914 972 1371 1828 2742 4113 5484 8226 12339 16452 24678 37017 49356 74034 111051 148068 222102 310231 444204 620462 930693 1240924 1861386 2792079 3722772 5584158 8376237 11168316 16752474 25128711 33504948 50257422 75386133 100514844 141775567 150772266 283551134 301544532 425326701 567102268 850653402 1275980103 1701306804 2551960206 3827940309 5103920412 7655880618 11483820927 15311761236 22967641854 34451462781 45935283708 68902925562 137805851124