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137198801 is a prime number
BaseRepresentation
bin10000010110101…
…11110011010001
3100120011102101002
420023113303101
5240110330201
621340351345
73254112335
oct1013276321
9316142332
10137198801
1170499543
1239b45555
132256932c
14143157c5
15c0a176b
hex82d7cd1

137198801 has 2 divisors, whose sum is σ = 137198802. Its totient is φ = 137198800.

The previous prime is 137198779. The next prime is 137198807. The reversal of 137198801 is 108891731.

137198801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122766400 + 14432401 = 11080^2 + 3799^2 .

It is a cyclic number.

It is not a de Polignac number, because 137198801 - 214 = 137182417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137198807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68599400 + 68599401.

It is an arithmetic number, because the mean of its divisors is an integer number (68599401).

Almost surely, 2137198801 is an apocalyptic number.

It is an amenable number.

137198801 is a deficient number, since it is larger than the sum of its proper divisors (1).

137198801 is an equidigital number, since it uses as much as digits as its factorization.

137198801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 38.

The square root of 137198801 is about 11713.1891899687. The cubic root of 137198801 is about 515.7629073720.

The spelling of 137198801 in words is "one hundred thirty-seven million, one hundred ninety-eight thousand, eight hundred one".