10152137031 has 8 divisors (see below), whose sum is σ = 13549090800. Its totient is φ = 6761637312.

The previous prime is 10152136991. The next prime is 10152137033. The reversal of 10152137031 is 13073125101.

It is a happy number.

10152137031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10152137031 - 2¹¹ = 10152134983 is a prime.

It is a super-2 number, since 2×10152137031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10152136992 and 10152137010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152137033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609840 + ... + 1616133.

It is an arithmetic number, because the mean of its divisors is an integer number (1693636350).

Almost surely, 2^10152137031 is an apocalyptic number.

10152137031 is a deficient number, since it is larger than the sum of its proper divisors (3396953769).

10152137031 is a wasteful number, since it uses less digits than its factorization.

10152137031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227025.

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 10152137031 in words is "ten billion, one hundred fifty-two million, one hundred thirty-seven thousand, thirty-one".