Search a number
-
+
137056256 = 21233461
BaseRepresentation
bin10000010101101…
…01000000000000
3100112220011211122
420022311000000
5240041300011
621333331412
73252646631
oct1012650000
9315804748
10137056256
1170401437
1239a96b68
132251949c
14142b9888
15c0743db
hex82b5000

137056256 has 26 divisors (see below), whose sum is σ = 274087242. Its totient is φ = 68526080.

The previous prime is 137056243. The next prime is 137056279. The reversal of 137056256 is 652650731.

It can be written as a sum of positive squares in only one way, i.e., 116985856 + 20070400 = 10816^2 + 4480^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12635 + ... + 20826.

It is an arithmetic number, because the mean of its divisors is an integer number (10541817).

Almost surely, 2137056256 is an apocalyptic number.

137056256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137056256 is a deficient number, since it is larger than the sum of its proper divisors (137030986).

137056256 is an frugal number, since it uses more digits than its factorization.

137056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33485 (or 33463 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 137056256 is about 11707.1028012912. The cubic root of 137056256 is about 515.5842252960.

The spelling of 137056256 in words is "one hundred thirty-seven million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 33461 66922 133844 267688 535376 1070752 2141504 4283008 8566016 17132032 34264064 68528128 137056256