135405142400 has 192 divisors, whose sum is σ = 373391726400. Its totient is φ = 48092620800.

The previous prime is 135405142381. The next prime is 135405142423. The reversal of 135405142400 is 4241504531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1468871 + ... + 1558329.

It is an arithmetic number, because the mean of its divisors is an integer number (1944748575).

Almost surely, 2^135405142400 is an apocalyptic number.

135405142400 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 135405142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186695863200).

135405142400 is an abundant number, since it is smaller than the sum of its proper divisors (237986584000).

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

135405142400 is a wasteful number, since it uses less digits than its factorization.

135405142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89537 (or 89520 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 135405142400 its reverse (4241504531), we get a palindrome (139646646931).

The spelling of 135405142400 in words is "one hundred thirty-five billion, four hundred five million, one hundred forty-two thousand, four hundred".