135430400000 has 288 divisors, whose sum is σ = 386952733440. Its totient is φ = 46417920000.

The previous prime is 135430399999. The next prime is 135430400087. The reversal of 135430400000 is 4034531.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44798489 + ... + 44801511.

It is an arithmetic number, because the mean of its divisors is an integer number (1343585880).

Almost surely, 2^135430400000 is an apocalyptic number.

135430400000 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 135430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193476366720).

135430400000 is an abundant number, since it is smaller than the sum of its proper divisors (251522333440).

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

135430400000 is an frugal number, since it uses more digits than its factorization.

135430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 135430400000 its reverse (4034531), we get a palindrome (135434434531).

The spelling of 135430400000 in words is "one hundred thirty-five billion, four hundred thirty million, four hundred thousand".