10137153 has 16 divisors (see below), whose sum is σ = 15059520. Its totient is φ = 6022464.

The previous prime is 10137119. The next prime is 10137187. The reversal of 10137153 is 35173101.

It is an interprime number because it is at equal distance from previous prime (10137119) and next prime (10137187).

It is not a de Polignac number, because 10137153 - 2⁸ = 10136897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10137103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3351 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (941220).

Almost surely, 2^10137153 is an apocalyptic number.

10137153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10137153 is a deficient number, since it is larger than the sum of its proper divisors (4922367).

10137153 is a wasteful number, since it uses less digits than its factorization.

10137153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 10137153 is about 3183.8896023575. The cubic root of 10137153 is about 216.4239572790.

The spelling of 10137153 in words is "ten million, one hundred thirty-seven thousand, one hundred fifty-three".