Search a number
-
+
153757343137 is a prime number
BaseRepresentation
bin1000111100110010100…
…1101101110110100001
3112200212121120022200111
42033030221231312201
510004343334440022
6154345105251321
714052151565266
oct2171451556641
9480777508614
10153757343137
115a232014712
1225971033b41
1311664b2c918
1476287bb26d
153eed8c1477
hex23cca6dda1

153757343137 has 2 divisors, whose sum is σ = 153757343138. Its totient is φ = 153757343136.

The previous prime is 153757343093. The next prime is 153757343197. The reversal of 153757343137 is 731343757351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152893512256 + 863830881 = 391016^2 + 29391^2 .

It is a cyclic number.

It is not a de Polignac number, because 153757343137 - 223 = 153748954529 is a prime.

It is a super-2 number, since 2×1537573431372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153757343197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76878671568 + 76878671569.

It is an arithmetic number, because the mean of its divisors is an integer number (76878671569).

Almost surely, 2153757343137 is an apocalyptic number.

It is an amenable number.

153757343137 is a deficient number, since it is larger than the sum of its proper divisors (1).

153757343137 is an equidigital number, since it uses as much as digits as its factorization.

153757343137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2778300, while the sum is 49.

The spelling of 153757343137 in words is "one hundred fifty-three billion, seven hundred fifty-seven million, three hundred forty-three thousand, one hundred thirty-seven".