31129232148 has 432 divisors, whose sum is σ = 100233753984. Its totient is φ = 8406478080.

The previous prime is 31129232107. The next prime is 31129232153. The reversal of 31129232148 is 84123292113.

31129232148 is a `hidden beast` number, since 3 + 1 + 1 + 292 + 321 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171984618 + ... + 171984798.

Almost surely, 2^31129232148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31129232148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50116876992).

31129232148 is an abundant number, since it is smaller than the sum of its proper divisors (69104521836).

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

31129232148 is a wasteful number, since it uses less digits than its factorization.

31129232148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 31129232148 in words is "thirty-one billion, one hundred twenty-nine million, two hundred thirty-two thousand, one hundred forty-eight".