10141135200 has 720 divisors, whose sum is σ = 42952250880. Its totient is φ = 2280545280.

The previous prime is 10141135181. The next prime is 10141135337. The reversal of 10141135200 is 253114101.

10141135200 is a `hidden beast` number, since 1 + 0 + 141 + 1 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35834259 + ... + 35834541.

It is an arithmetic number, because the mean of its divisors is an integer number (59655904).

Almost surely, 2^10141135200 is an apocalyptic number.

10141135200 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 10141135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476125440).

10141135200 is an abundant number, since it is smaller than the sum of its proper divisors (32811115680).

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

10141135200 is a wasteful number, since it uses less digits than its factorization.

10141135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10141135200 its reverse (253114101), we get a palindrome (10394249301).

The spelling of 10141135200 in words is "ten billion, one hundred forty-one million, one hundred thirty-five thousand, two hundred".