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137321540 = 2256866077
BaseRepresentation
bin10000010111101…
…01110001000100
3100120101122201222
420023311301010
5240123242130
621343135512
73255133226
oct1013656104
9316348658
10137321540
1170572784
1239ba4598
13225b0165
1414348416
15c0c7ce5
hex82f5c44

137321540 has 12 divisors (see below), whose sum is σ = 288375276. Its totient is φ = 54928608.

The previous prime is 137321521. The next prime is 137321549. The reversal of 137321540 is 45123731.

It can be written as a sum of positive squares in 2 ways, for example, as 85969984 + 51351556 = 9272^2 + 7166^2 .

It is not an unprimeable number, because it can be changed into a prime (137321549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3433019 + ... + 3433058.

It is an arithmetic number, because the mean of its divisors is an integer number (24031273).

Almost surely, 2137321540 is an apocalyptic number.

137321540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137321540 is an abundant number, since it is smaller than the sum of its proper divisors (151053736).

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

137321540 is a wasteful number, since it uses less digits than its factorization.

137321540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866086 (or 6866084 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 137321540 is about 11718.4273688921. The cubic root of 137321540 is about 515.9166632235.

The spelling of 137321540 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6866077 13732154 27464308 34330385 68660770 137321540