10137419 has 2 divisors, whose sum is σ = 10137420. Its totient is φ = 10137418.

The previous prime is 10137349. The next prime is 10137427. The reversal of 10137419 is 91473101.

It is a strong prime.

It is an emirp because it is prime and its reverse (91473101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10137419 - 2²⁰ = 9088843 is a prime.

It is a super-4 number, since 4×10137419⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10137499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068709 + 5068710.

It is an arithmetic number, because the mean of its divisors is an integer number (5068710).

Almost surely, 2^10137419 is an apocalyptic number.

10137419 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137419 is an equidigital number, since it uses as much as digits as its factorization.

10137419 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 10137419 is about 3183.9313748886. The cubic root of 10137419 is about 216.4258502585.

The spelling of 10137419 in words is "ten million, one hundred thirty-seven thousand, four hundred nineteen".