10134163200 has 216 divisors, whose sum is σ = 38223192448. Its totient is φ = 2316349440.

The previous prime is 10134163181. The next prime is 10134163219. The reversal of 10134163200 is 236143101.

It is an interprime number because it is at equal distance from previous prime (10134163181) and next prime (10134163219).

It is a super-3 number, since 3×10134163200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96699 + ... + 172101.

Almost surely, 2^10134163200 is an apocalyptic number.

10134163200 is a gapful number since it is divisible by the number (10) 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 10134163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111596224).

10134163200 is an abundant number, since it is smaller than the sum of its proper divisors (28089029248).

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

10134163200 is an equidigital number, since it uses as much as digits as its factorization.

10134163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75439 (or 75420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 10134163200 in words is "ten billion, one hundred thirty-four million, one hundred sixty-three thousand, two hundred".