135421009920 has 1400 divisors, whose sum is σ = 599674616244. Its totient is φ = 29132587008.

The previous prime is 135421009907. The next prime is 135421009973. The reversal of 135421009920 is 29900124531.

135421009920 is a `hidden beast` number, since 1 + 3 + 542 + 1 + 0 + 0 + 99 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134624415744 + 796594176 = 366912^2 + 28224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7965941752 + ... + 7965941768.

Almost surely, 2^135421009920 is an apocalyptic number.

135421009920 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 135421009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299837308122).

135421009920 is an abundant number, since it is smaller than the sum of its proper divisors (464253606324).

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

135421009920 is an frugal number, since it uses more digits than its factorization.

135421009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 135421009920 in words is "one hundred thirty-five billion, four hundred twenty-one million, nine thousand, nine hundred twenty".