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137311664 = 2471225997
BaseRepresentation
bin10000010111100…
…11010110110000
3100120101011012012
420023303112300
5240122433124
621343022052
73255062360
oct1013632660
9316334165
10137311664
1170566316
1239b9a928
13225a8809
14143449a0
15c0c4e0e
hex82f35b0

137311664 has 20 divisors (see below), whose sum is σ = 304047504. Its totient is φ = 58847808.

The previous prime is 137311663. The next prime is 137311667. The reversal of 137311664 is 466113731.

It is a self number, because there is not a number n which added to its sum of digits gives 137311664.

It is not an unprimeable number, because it can be changed into a prime (137311663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 612887 + ... + 613110.

Almost surely, 2137311664 is an apocalyptic number.

137311664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137311664 is an abundant number, since it is smaller than the sum of its proper divisors (166735840).

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

137311664 is a wasteful number, since it uses less digits than its factorization.

137311664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226012 (or 1226006 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 137311664 is about 11718.0059737141. The cubic root of 137311664 is about 515.9042948917.

The spelling of 137311664 in words is "one hundred thirty-seven million, three hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1225997 2451994 4903988 8581979 9807976 17163958 19615952 34327916 68655832 137311664