Search a number
-
+
137113056 = 2532476087
BaseRepresentation
bin10000010110000…
…10110111100000
3100120000001202100
420023002313200
5240100104211
621334450400
73253304343
oct1013026740
9316001670
10137113056
1170440083
1239b03a00
13225392b2
14142d245a
15c086156
hex82c2de0

137113056 has 36 divisors (see below), whose sum is σ = 389916072. Its totient is φ = 45704256.

The previous prime is 137113049. The next prime is 137113069. The reversal of 137113056 is 650311731.

Adding to 137113056 its reverse (650311731), we get a palindrome (787424787).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 237756 + ... + 238331.

It is an arithmetic number, because the mean of its divisors is an integer number (10831002).

Almost surely, 2137113056 is an apocalyptic number.

137113056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137113056 is an abundant number, since it is smaller than the sum of its proper divisors (252803016).

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

137113056 is a wasteful number, since it uses less digits than its factorization.

137113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476103 (or 476092 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 137113056 is about 11709.5284277378. The cubic root of 137113056 is about 515.6554397016.

The spelling of 137113056 in words is "one hundred thirty-seven million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 476087 952174 1428261 1904348 2856522 3808696 4284783 5713044 7617392 8569566 11426088 15234784 17139132 22852176 34278264 45704352 68556528 137113056