10137537536 has 88 divisors (see below), whose sum is σ = 23653756416. Its totient is φ = 4252078080.

The previous prime is 10137537517. The next prime is 10137537539. The reversal of 10137537536 is 63573573101.

It is a junction number, because it is equal to n+sod(n) for n = 10137537493 and 10137537502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137537539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321851 + ... + 351941.

Almost surely, 2^10137537536 is an apocalyptic number.

10137537536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10137537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826878208).

10137537536 is an abundant number, since it is smaller than the sum of its proper divisors (13516218880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10137537536 is an equidigital number, since it uses as much as digits as its factorization.

10137537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30165 (or 30147 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 41.

The spelling of 10137537536 in words is "ten billion, one hundred thirty-seven million, five hundred thirty-seven thousand, five hundred thirty-six".