10134289976832 has 480 divisors, whose sum is σ = 35022247932672. Its totient is φ = 2865636900864.

The previous prime is 10134289976803. The next prime is 10134289976849. The reversal of 10134289976832 is 23867998243101.

10134289976832 is a `hidden beast` number, since 10 + 13 + 428 + 99 + 76 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10134289976832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84418483 + ... + 84538445.

Almost surely, 2^{10134289976832} is an apocalyptic number.

10134289976832 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 10134289976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511123966336).

10134289976832 is an abundant number, since it is smaller than the sum of its proper divisors (24887957955840).

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

10134289976832 is an frugal number, since it uses more digits than its factorization.

10134289976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120100 (or 120072 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 10134289976832 in words is "ten trillion, one hundred thirty-four billion, two hundred eighty-nine million, nine hundred seventy-six thousand, eight hundred thirty-two".