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137752903 is a prime number
BaseRepresentation
bin10000011010111…
…11000101000111
3100121012120110101
420031133011013
5240231043103
621400304531
73261610651
oct1015370507
9317176411
10137752903
1170837882
123a172147
13227015c2
141441b6d1
15c160a1d
hex835f147

137752903 has 2 divisors, whose sum is σ = 137752904. Its totient is φ = 137752902.

The previous prime is 137752897. The next prime is 137752913. The reversal of 137752903 is 309257731.

137752903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137752903 is a prime.

It is equal to p7792390 and since 137752903 and 7792390 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137752913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68876451 + 68876452.

It is an arithmetic number, because the mean of its divisors is an integer number (68876452).

Almost surely, 2137752903 is an apocalyptic number.

137752903 is a deficient number, since it is larger than the sum of its proper divisors (1).

137752903 is an equidigital number, since it uses as much as digits as its factorization.

137752903 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 137752903 is about 11736.8182656119. The cubic root of 137752903 is about 516.4563084456.

The spelling of 137752903 in words is "one hundred thirty-seven million, seven hundred fifty-two thousand, nine hundred three".