10135053144000 has 168 divisors, whose sum is σ = 36254774529168. Its totient is φ = 2702680819200.

The previous prime is 10135053143981. The next prime is 10135053144031. The reversal of 10135053144000 is 44135053101.

It is a happy number.

10135053144000 is a `hidden beast` number, since 1 + 0 + 13 + 505 + 3 + 144 + 0 + 0 + 0 = 666.

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, 70310314 + ... + 70454313.

Almost surely, 2^{10135053144000} is an apocalyptic number.

10135053144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135053144000 is an abundant number, since it is smaller than the sum of its proper divisors (26119721385168).

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

10135053144000 is a wasteful number, since it uses less digits than its factorization.

10135053144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140764660 (or 140764637 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10135053144000 its reverse (44135053101), we get a palindrome (10179188197101).

The spelling of 10135053144000 in words is "ten trillion, one hundred thirty-five billion, fifty-three million, one hundred forty-four thousand".