135042390000 has 1200 divisors, whose sum is σ = 593912487168. Its totient is φ = 28988928000.

The previous prime is 135042389929. The next prime is 135042390011. The reversal of 135042390000 is 93240531.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 289169767 + ... + 289170233.

Almost surely, 2^135042390000 is an apocalyptic number.

135042390000 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 135042390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296956243584).

135042390000 is an abundant number, since it is smaller than the sum of its proper divisors (458870097168).

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

135042390000 is an equidigital number, since it uses as much as digits as its factorization.

135042390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 135042390000 in words is "one hundred thirty-five billion, forty-two million, three hundred ninety thousand".