135673520400 has 480 divisors, whose sum is σ = 554532364800. Its totient is φ = 31158950400.

The previous prime is 135673520383. The next prime is 135673520447. The reversal of 135673520400 is 4025376531.

135673520400 is a `hidden beast` number, since 1 + 3 + 567 + 3 + 52 + 0 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 2227147 + ... + 2287253.

It is an arithmetic number, because the mean of its divisors is an integer number (1155275760).

Almost surely, 2^135673520400 is an apocalyptic number.

135673520400 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 135673520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277266182400).

135673520400 is an abundant number, since it is smaller than the sum of its proper divisors (418858844400).

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

135673520400 is a wasteful number, since it uses less digits than its factorization.

135673520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60164 (or 60147 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 135673520400 its reverse (4025376531), we get a palindrome (139698896931).

The spelling of 135673520400 in words is "one hundred thirty-five billion, six hundred seventy-three million, five hundred twenty thousand, four hundred".