Search a number
-
+
137925585 = 355716217
BaseRepresentation
bin10000011100010…
…01001111010001
3100121112100100000
420032021033101
5240302104320
621404120213
73263230260
oct1016111721
9317470300
10137925585
1170945596
123a236069
1322762095
14144645d7
15c196c90
hex83893d1

137925585 has 48 divisors (see below), whose sum is σ = 283360896. Its totient is φ = 63047808.

The previous prime is 137925569. The next prime is 137925611. The reversal of 137925585 is 585529731.

137925585 is a `hidden beast` number, since 1 + 3 + 7 + 92 + 558 + 5 = 666.

It is not a de Polignac number, because 137925585 - 24 = 137925569 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 137925585.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397 + ... + 16613.

It is an arithmetic number, because the mean of its divisors is an integer number (5903352).

Almost surely, 2137925585 is an apocalyptic number.

137925585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137925585 is an abundant number, since it is smaller than the sum of its proper divisors (145435311).

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

137925585 is an equidigital number, since it uses as much as digits as its factorization.

137925585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16244 (or 16232 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 137925585 is about 11744.1723846340. The cubic root of 137925585 is about 516.6720219124.

The spelling of 137925585 in words is "one hundred thirty-seven million, nine hundred twenty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 16217 48651 81085 113519 145953 243255 340557 437859 567595 729765 1021671 1313577 1702785 2189295 3065013 3940731 5108355 6567885 9195039 15325065 19703655 27585117 45975195 137925585