137959001 has 2 divisors, whose sum is σ = 137959002. Its totient is φ = 137959000.

The previous prime is 137958983. The next prime is 137959009. The reversal of 137959001 is 100959731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133379401 + 4579600 = 11549^2 + 2140^2 .

It is a cyclic number.

It is not a de Polignac number, because 137959001 - 2¹⁴ = 137942617 is a prime.

It is equal to p_7803359 and since 137959001 and 7803359 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137959009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68979500 + 68979501.

It is an arithmetic number, because the mean of its divisors is an integer number (68979501).

Almost surely, 2^137959001 is an apocalyptic number.

It is an amenable number.

137959001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137959001 is an equidigital number, since it uses as much as digits as its factorization.

137959001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 137959001 is about 11745.5949615164. The cubic root of 137959001 is about 516.7137442130.

The spelling of 137959001 in words is "one hundred thirty-seven million, nine hundred fifty-nine thousand, one".