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137445345 = 32510130241
BaseRepresentation
bin10000011000100…
…11111111100001
3100120121221120100
420030103333201
5240141222340
621345533013
73256160202
oct1014237741
9316557510
10137445345
11706477a4
123a044169
132262460b
141437b5a9
15c0ee830
hex8313fe1

137445345 has 24 divisors (see below), whose sum is σ = 240605352. Its totient is φ = 72576000.

The previous prime is 137445313. The next prime is 137445353. The reversal of 137445345 is 543544731.

137445345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23126481 + 114318864 = 4809^2 + 10692^2 .

It is not a de Polignac number, because 137445345 - 25 = 137445313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10576 + ... + 19665.

It is an arithmetic number, because the mean of its divisors is an integer number (10025223).

Almost surely, 2137445345 is an apocalyptic number.

137445345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137445345 is a deficient number, since it is larger than the sum of its proper divisors (103160007).

137445345 is a wasteful number, since it uses less digits than its factorization.

137445345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30353 (or 30350 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 137445345 is about 11723.7086708942. The cubic root of 137445345 is about 516.0716616715.

The spelling of 137445345 in words is "one hundred thirty-seven million, four hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 30241 90723 151205 272169 453615 1360845 3054341 9163023 15271705 27489069 45815115 137445345