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137461230 = 23251527347
BaseRepresentation
bin10000011000101…
…11110111101110
3100120122202100200
420030113313232
5240142224410
621350134330
73256254414
oct1014276756
9316582320
10137461230
1170658725
123a0513a6
132262b90a
14143832b4
15c1043c0
hex8317dee

137461230 has 24 divisors (see below), whose sum is σ = 357399432. Its totient is φ = 36656304.

The previous prime is 137461211. The next prime is 137461231. The reversal of 137461230 is 32164731.

137461230 is a `hidden beast` number, since 1 + 374 + 61 + 230 = 666.

It is a super-2 number, since 2×1374612302 = 37791179506225800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137461194 and 137461203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137461231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763584 + ... + 763763.

It is an arithmetic number, because the mean of its divisors is an integer number (14891643).

Almost surely, 2137461230 is an apocalyptic number.

137461230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137461230 is an abundant number, since it is smaller than the sum of its proper divisors (219938202).

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

137461230 is a wasteful number, since it uses less digits than its factorization.

137461230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527360 (or 1527357 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137461230 is about 11724.3861246549. The cubic root of 137461230 is about 516.0915422588.

The spelling of 137461230 in words is "one hundred thirty-seven million, four hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1527347 3054694 4582041 7636735 9164082 13746123 15273470 22910205 27492246 45820410 68730615 137461230