Search a number
-
+
137619048 = 23372117023
BaseRepresentation
bin10000011001111…
…10011001101000
3100120221202211210
420030332121220
5240212302143
621353353120
73260512500
oct1014763150
9316852753
10137619048
1170756256
123a1087a0
13226856b8
14143c4a00
15c136033
hex833e668

137619048 has 48 divisors (see below), whose sum is σ = 400222080. Its totient is φ = 39319392.

The previous prime is 137619043. The next prime is 137619059. The reversal of 137619048 is 840916731.

It is a junction number, because it is equal to n+sod(n) for n = 137618997 and 137619015.

It is not an unprimeable number, because it can be changed into a prime (137619043) 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 11 ways as a sum of consecutive naturals, for example, 57336 + ... + 59687.

It is an arithmetic number, because the mean of its divisors is an integer number (8337960).

Almost surely, 2137619048 is an apocalyptic number.

It is an amenable number.

137619048 is an abundant number, since it is smaller than the sum of its proper divisors (262603032).

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

137619048 is a wasteful number, since it uses less digits than its factorization.

137619048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117046 (or 117035 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 137619048 is about 11731.1145250569. The cubic root of 137619048 is about 516.2889734055.

The spelling of 137619048 in words is "one hundred thirty-seven million, six hundred nineteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 117023 234046 351069 468092 702138 819161 936184 1404276 1638322 2457483 2808552 3276644 4914966 5734127 6553288 9829932 11468254 17202381 19659864 22936508 34404762 45873016 68809524 137619048