10137829146 has 32 divisors (see below), whose sum is σ = 20764895616. Its totient is φ = 3298680000.

The previous prime is 10137829111. The next prime is 10137829153. The reversal of 10137829146 is 64192873101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10137829098 and 10137829107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74785 + ... + 160836.

It is an arithmetic number, because the mean of its divisors is an integer number (648902988).

Almost surely, 2^10137829146 is an apocalyptic number.

10137829146 is an abundant number, since it is smaller than the sum of its proper divisors (10627066470).

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

10137829146 is a wasteful number, since it uses less digits than its factorization.

10137829146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235798.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10137829146 in words is "ten billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, one hundred forty-six".