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137738295 = 32510329717
BaseRepresentation
bin10000011010110…
…11100000110111
3100121011211102100
420031123200313
5240230111140
621400113143
73261520242
oct1015334067
9317154370
10137738295
1170827902
123a1657b3
13226c7a66
1414416259
15c15b530
hex835b837

137738295 has 24 divisors (see below), whose sum is σ = 241072416. Its totient is φ = 72744768.

The previous prime is 137738291. The next prime is 137738323. The reversal of 137738295 is 592837731.

It is a happy number.

137738295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137738295 - 22 = 137738291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137738295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137738291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10224 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (10044684).

Almost surely, 2137738295 is an apocalyptic number.

137738295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137738295 is a deficient number, since it is larger than the sum of its proper divisors (103334121).

137738295 is a wasteful number, since it uses less digits than its factorization.

137738295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29831 (or 29828 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 137738295 is about 11736.1959339473. The cubic root of 137738295 is about 516.4380519387.

The spelling of 137738295 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 29717 89151 148585 267453 445755 1337265 3060851 9182553 15304255 27547659 45912765 137738295