135672421040 has 320 divisors, whose sum is σ = 356977152000. Its totient is φ = 47626444800.

The previous prime is 135672421009. The next prime is 135672421043. The reversal of 135672421040 is 40124276531.

It is not an unprimeable number, because it can be changed into a prime (135672421043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500636105 + ... + 500636375.

It is an arithmetic number, because the mean of its divisors is an integer number (1115553600).

Almost surely, 2^135672421040 is an apocalyptic number.

135672421040 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 135672421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

135672421040 is an abundant number, since it is smaller than the sum of its proper divisors (221304730960).

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

135672421040 is a wasteful number, since it uses less digits than its factorization.

135672421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 135672421040 its reverse (40124276531), we get a palindrome (175796697571).

The spelling of 135672421040 in words is "one hundred thirty-five billion, six hundred seventy-two million, four hundred twenty-one thousand, forty".