Search a number
-
+
137037744 = 2434412579
BaseRepresentation
bin10000010101100…
…00011110110000
3100112212020110000
420022300132300
5240040201434
621333110000
73252541644
oct1012603660
9315766400
10137037744
1170399538
1239a88300
1322510c2c
14142b2c24
15c06db99
hex82b07b0

137037744 has 100 divisors (see below), whose sum is σ = 406458360. Its totient is φ = 44547840.

The previous prime is 137037727. The next prime is 137037767. The reversal of 137037744 is 447730731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137037699 and 137037708.

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 19 ways as a sum of consecutive naturals, for example, 51847 + ... + 54425.

Almost surely, 2137037744 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 137037744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203229180).

137037744 is an abundant number, since it is smaller than the sum of its proper divisors (269420616).

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

137037744 is a wasteful number, since it uses less digits than its factorization.

137037744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 137037744 is about 11706.3121434549. The cubic root of 137037744 is about 515.5610111668.

The spelling of 137037744 in words is "one hundred thirty-seven million, thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2579 2952 3321 4428 5158 5904 6642 7737 8856 10316 13284 15474 17712 20632 23211 26568 30948 41264 46422 53136 61896 69633 92844 105739 123792 139266 185688 208899 211478 278532 317217 371376 417798 422956 557064 634434 835596 845912 951651 1114128 1268868 1671192 1691824 1903302 2537736 2854953 3342384 3806604 5075472 5709906 7613208 8564859 11419812 15226416 17129718 22839624 34259436 45679248 68518872 137037744