Search a number
-
+
137095040 = 275214211
BaseRepresentation
bin10000010101111…
…10011110000000
3100112222011001002
420022332132000
5240044020130
621334231132
73253200665
oct1012763600
9315864032
10137095040
1170428595
1239ab54a8
1322531034
14142c9a6c
15c080b45
hex82be780

137095040 has 32 divisors (see below), whose sum is σ = 327744360. Its totient is φ = 54837760.

The previous prime is 137095039. The next prime is 137095067. The reversal of 137095040 is 40590731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 137094994 and 137095012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106466 + ... + 107745.

Almost surely, 2137095040 is an apocalyptic number.

137095040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137095040 is an abundant number, since it is smaller than the sum of its proper divisors (190649320).

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

137095040 is an equidigital number, since it uses as much as digits as its factorization.

137095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214230 (or 214218 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 137095040 is about 11708.7591144408. The cubic root of 137095040 is about 515.6328538259.

The spelling of 137095040 in words is "one hundred thirty-seven million, ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 214211 428422 856844 1071055 1713688 2142110 3427376 4284220 6854752 8568440 13709504 17136880 27419008 34273760 68547520 137095040