135373604400 has 480 divisors, whose sum is σ = 512256052800. Its totient is φ = 33837465600.

The previous prime is 135373604381. The next prime is 135373604407. The reversal of 135373604400 is 4406373531.

135373604400 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 3 + 604 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135373604407) 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 95 ways as a sum of consecutive naturals, for example, 49387030 + ... + 49389770.

It is an arithmetic number, because the mean of its divisors is an integer number (1067200110).

Almost surely, 2^135373604400 is an apocalyptic number.

135373604400 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 135373604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256128026400).

135373604400 is an abundant number, since it is smaller than the sum of its proper divisors (376882448400).

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

135373604400 is a wasteful number, since it uses less digits than its factorization.

135373604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 135373604400 its reverse (4406373531), we get a palindrome (139779977931).

The spelling of 135373604400 in words is "one hundred thirty-five billion, three hundred seventy-three million, six hundred four thousand, four hundred".