135042646400 has 96 divisors (see below), whose sum is σ = 344359001280. Its totient is φ = 52274534400.

The previous prime is 135042646397. The next prime is 135042646439. The reversal of 135042646400 is 4646240531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581459 + ... + 779858.

It is an arithmetic number, because the mean of its divisors is an integer number (3587072930).

Almost surely, 2^135042646400 is an apocalyptic number.

135042646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135042646400 is an abundant number, since it is smaller than the sum of its proper divisors (209316354880).

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

135042646400 is a wasteful number, since it uses less digits than its factorization.

135042646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361372 (or 1361355 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 135042646400 its reverse (4646240531), we get a palindrome (139688886931).

The spelling of 135042646400 in words is "one hundred thirty-five billion, forty-two million, six hundred forty-six thousand, four hundred".