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137976065281 is a prime number
BaseRepresentation
bin1000000010000000000…
…0111010110100000001
3111012010210022100021001
42000200000322310001
54230033333042111
6143215121532001
712653114126665
oct2004000726401
9435123270231
10137976065281
115357398a01a
12228a7aa4001
131001b4875a2
14696c9028a5
1538c81d21c1
hex202003ad01

137976065281 has 2 divisors, whose sum is σ = 137976065282. Its totient is φ = 137976065280.

The previous prime is 137976065267. The next prime is 137976065291. The reversal of 137976065281 is 182560679731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137907506881 + 68558400 = 371359^2 + 8280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137976065281 is a prime.

It is a super-2 number, since 2×1379760652812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137976065251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68988032640 + 68988032641.

It is an arithmetic number, because the mean of its divisors is an integer number (68988032641).

Almost surely, 2137976065281 is an apocalyptic number.

It is an amenable number.

137976065281 is a deficient number, since it is larger than the sum of its proper divisors (1).

137976065281 is an equidigital number, since it uses as much as digits as its factorization.

137976065281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 137976065281 in words is "one hundred thirty-seven billion, nine hundred seventy-six million, sixty-five thousand, two hundred eighty-one".