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137001260 = 22511896997
BaseRepresentation
bin10000010101001…
…11100100101100
3100112210101101202
420022213210230
5240033020020
621332225032
73252330404
oct1012474454
9315711352
10137001260
1170374090
1239a6b178
13224ca446
14142a3804
15c062e75
hex82a792c

137001260 has 48 divisors (see below), whose sum is σ = 317429280. Its totient is φ = 49251840.

The previous prime is 137001259. The next prime is 137001281. The reversal of 137001260 is 62100731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16082 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (6613110).

Almost surely, 2137001260 is an apocalyptic number.

137001260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137001260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158714640).

137001260 is an abundant number, since it is smaller than the sum of its proper divisors (180428020).

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

137001260 is a wasteful number, since it uses less digits than its factorization.

137001260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137001260 is about 11704.7537351283. The cubic root of 137001260 is about 515.5152539496.

Adding to 137001260 its reverse (62100731), we get a palindrome (199101991).

The spelling of 137001260 in words is "one hundred thirty-seven million, one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 6997 9790 13994 19580 27988 34985 69970 76967 139940 153934 307868 384835 622733 769670 1245466 1539340 2490932 3113665 6227330 6850063 12454660 13700126 27400252 34250315 68500630 137001260