Search a number
-
+
137050128 = 24326471471
BaseRepresentation
bin10000010101100…
…11100000010000
3100112212212102200
420022303200100
5240041101003
621333243200
73252623025
oct1012634020
9315785380
10137050128
11703a7876
1239a93500
1322516767
14142b754c
15c0726a3
hex82b3810

137050128 has 60 divisors (see below), whose sum is σ = 384403968. Its totient is φ = 45581760.

The previous prime is 137050091. The next prime is 137050157. The reversal of 137050128 is 821050731.

137050128 is a `hidden beast` number, since 137 + 0 + 501 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92433 + ... + 93903.

Almost surely, 2137050128 is an apocalyptic number.

137050128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137050128 is an abundant number, since it is smaller than the sum of its proper divisors (247353840).

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

137050128 is a wasteful number, since it uses less digits than its factorization.

137050128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 137050128 is about 11706.8410769088. The cubic root of 137050128 is about 515.5765409886.

The spelling of 137050128 in words is "one hundred thirty-seven million, fifty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 647 1294 1471 1941 2588 2942 3882 4413 5176 5823 5884 7764 8826 10352 11646 11768 13239 15528 17652 23292 23536 26478 31056 35304 46584 52956 70608 93168 105912 211824 951737 1903474 2855211 3806948 5710422 7613896 8565633 11420844 15227792 17131266 22841688 34262532 45683376 68525064 137050128