135040451520 has 224 divisors, whose sum is σ = 462021009408. Its totient is φ = 33220104192.

The previous prime is 135040451519. The next prime is 135040451537. The reversal of 135040451520 is 25154040531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33531747 + ... + 33535773.

It is an arithmetic number, because the mean of its divisors is an integer number (2062593792).

Almost surely, 2^135040451520 is an apocalyptic number.

135040451520 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 135040451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231010504704).

135040451520 is an abundant number, since it is smaller than the sum of its proper divisors (326980557888).

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

135040451520 is a wasteful number, since it uses less digits than its factorization.

135040451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 135040451520 in words is "one hundred thirty-five billion, forty million, four hundred fifty-one thousand, five hundred twenty".