135420383388000 has 384 divisors, whose sum is σ = 462975871647744. Its totient is φ = 34538270976000.

The previous prime is 135420383387963. The next prime is 135420383388013. The reversal of 135420383388000 is 883383024531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3285207390 + ... + 3285248610.

It is an arithmetic number, because the mean of its divisors is an integer number (1205666332416).

Almost surely, 2^{135420383388000} is an apocalyptic number.

135420383388000 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 135420383388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231487935823872).

135420383388000 is an abundant number, since it is smaller than the sum of its proper divisors (327555488259744).

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

135420383388000 is a wasteful number, since it uses less digits than its factorization.

135420383388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53175 (or 53157 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 135420383388000 in words is "one hundred thirty-five trillion, four hundred twenty billion, three hundred eighty-three million, three hundred eighty-eight thousand".