10147131792 has 560 divisors, whose sum is σ = 36777963520. Its totient is φ = 2645395200.

The previous prime is 10147131739. The next prime is 10147131817. The reversal of 10147131792 is 29713174101.

10147131792 is a `hidden beast` number, since 10 + 1 + 471 + 3 + 179 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48090567 + ... + 48090777.

Almost surely, 2^10147131792 is an apocalyptic number.

10147131792 is a gapful number since it is divisible by the number (12) 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 10147131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388981760).

10147131792 is an abundant number, since it is smaller than the sum of its proper divisors (26630831728).

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

10147131792 is a wasteful number, since it uses less digits than its factorization.

10147131792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10147131792 in words is "ten billion, one hundred forty-seven million, one hundred thirty-one thousand, seven hundred ninety-two".