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137746230544 = 24132213329921
BaseRepresentation
bin1000000001001001010…
…0001010110100010000
3111011112202211112021101
42000102110022310100
54224101013334134
6143140231434144
712644323432606
oct2002224126420
9434482745241
10137746230544
115346617985a
1222842b25954
13ccb29855c0
14694a195876
1538b2e32e14
hex201250ad10

137746230544 has 40 divisors (see below), whose sum is σ = 287435399832. Its totient is φ = 63570186240.

The previous prime is 137746230491. The next prime is 137746230553. The reversal of 137746230544 is 445032647731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9017401600 + 128728828944 = 94960^2 + 358788^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137746230494 and 137746230503.

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, 4588704 + ... + 4618624.

Almost surely, 2137746230544 is an apocalyptic number.

It is an amenable number.

137746230544 is an abundant number, since it is smaller than the sum of its proper divisors (149689169288).

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

137746230544 is a wasteful number, since it uses less digits than its factorization.

137746230544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52075 (or 52069 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 137746230544 in words is "one hundred thirty-seven billion, seven hundred forty-six million, two hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 22133 29921 44266 59842 88532 119684 177064 239368 287729 354128 388973 478736 575458 777946 1150916 1555892 2301832 3111784 4603664 6223568 662241493 1324482986 2648965972 5297931944 8609139409 10595863888 17218278818 34436557636 68873115272 137746230544