135642760800 has 288 divisors, whose sum is σ = 446090198400. Its totient is φ = 35798568960.

The previous prime is 135642760777. The next prime is 135642760807. The reversal of 135642760800 is 8067246531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135642760807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 205830871 + ... + 205831529.

It is an arithmetic number, because the mean of its divisors is an integer number (1548924300).

Almost surely, 2^135642760800 is an apocalyptic number.

135642760800 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 135642760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223045099200).

135642760800 is an abundant number, since it is smaller than the sum of its proper divisors (310447437600).

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

135642760800 is a wasteful number, since it uses less digits than its factorization.

135642760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 135642760800 in words is "one hundred thirty-five billion, six hundred forty-two million, seven hundred sixty thousand, eight hundred".