Search a number
-
+
137325564 = 22334131013
BaseRepresentation
bin10000010111101…
…10101111111100
3100120101212021000
420023312233330
5240123404224
621343210300
73255151035
oct1013665774
9316355230
10137325564
1170575802
1239ba6990
13225b1c3c
1414349a8c
15c0c90c9
hex82f6bfc

137325564 has 48 divisors (see below), whose sum is σ = 364724640. Its totient is φ = 44657280.

The previous prime is 137325563. The next prime is 137325577. The reversal of 137325564 is 465523731.

137325564 is a `hidden beast` number, since 1 + 3 + 73 + 25 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137325563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11079 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (7598430).

Almost surely, 2137325564 is an apocalyptic number.

It is an amenable number.

137325564 is an abundant number, since it is smaller than the sum of its proper divisors (227399076).

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

137325564 is a wasteful number, since it uses less digits than its factorization.

137325564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31059 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 137325564 is about 11718.5990630280. The cubic root of 137325564 is about 515.9217025600.

The spelling of 137325564 in words is "one hundred thirty-seven million, three hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 31013 62026 93039 124052 186078 279117 372156 558234 837351 1116468 1271533 1674702 2543066 3349404 3814599 5086132 7629198 11443797 15258396 22887594 34331391 45775188 68662782 137325564