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120072137 is a prime number
BaseRepresentation
bin1110010100000…
…10011111001001
322100221022000012
413022002133021
5221214302022
615525321305
72655411353
oct712023711
9270838005
10120072137
1161860a79
1234266235
131bb50a03
1411d380d3
15a81bde2
hex72827c9

120072137 has 2 divisors, whose sum is σ = 120072138. Its totient is φ = 120072136.

The previous prime is 120072109. The next prime is 120072163. The reversal of 120072137 is 731270021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90706576 + 29365561 = 9524^2 + 5419^2 .

It is an emirp because it is prime and its reverse (731270021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120072137 - 28 = 120071881 is a prime.

It is not a weakly prime, because it can be changed into another prime (120072737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60036068 + 60036069.

It is an arithmetic number, because the mean of its divisors is an integer number (60036069).

Almost surely, 2120072137 is an apocalyptic number.

It is an amenable number.

120072137 is a deficient number, since it is larger than the sum of its proper divisors (1).

120072137 is an equidigital number, since it uses as much as digits as its factorization.

120072137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 120072137 is about 10957.7432439349. The cubic root of 120072137 is about 493.3412312570.

It can be divided in two parts, 1200 and 72137, that added together give a palindrome (73337).

The spelling of 120072137 in words is "one hundred twenty million, seventy-two thousand, one hundred thirty-seven".