1152442135000 has 160 divisors (see below), whose sum is σ = 2942925899760. Its totient is φ = 420388416000.

The previous prime is 1152442134967. The next prime is 1152442135021. The reversal of 1152442135000 is 5312442511.

It is a super-4 number, since 4×1152442135000⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1152442135000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5288194 + ... + 5501806.

Almost surely, 2^{1152442135000} is an apocalyptic number.

1152442135000 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 1152442135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471462949880).

1152442135000 is an abundant number, since it is smaller than the sum of its proper divisors (1790483764760).

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

1152442135000 is a wasteful number, since it uses less digits than its factorization.

1152442135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213735 (or 213716 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1152442135000 its reverse (5312442511), we get a palindrome (1157754577511).

The spelling of 1152442135000 in words is "one trillion, one hundred fifty-two billion, four hundred forty-two million, one hundred thirty-five thousand".