135442120000 has 140 divisors (see below), whose sum is σ = 366385669056. Its totient is φ = 49251520000.

The previous prime is 135442119971. The next prime is 135442120001. The reversal of 135442120000 is 21244531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135442120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286089 + ... + 593911.

Almost surely, 2^135442120000 is an apocalyptic number.

135442120000 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 135442120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183192834528).

135442120000 is an abundant number, since it is smaller than the sum of its proper divisors (230943549056).

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

135442120000 is an equidigital number, since it uses as much as digits as its factorization.

135442120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307866 (or 307841 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 135442120000 its reverse (21244531), we get a palindrome (135463364531).

The spelling of 135442120000 in words is "one hundred thirty-five billion, four hundred forty-two million, one hundred twenty thousand".