135004172400 has 180 divisors, whose sum is σ = 478470706272. Its totient is φ = 35235087360.

The previous prime is 135004172389. The next prime is 135004172441. The reversal of 135004172400 is 4271400531.

135004172400 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 417 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×135004172400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229749 + ... + 568148.

Almost surely, 2^135004172400 is an apocalyptic number.

135004172400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135004172400 is an abundant number, since it is smaller than the sum of its proper divisors (343466533872).

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

135004172400 is a wasteful number, since it uses less digits than its factorization.

135004172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797968 (or 797954 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 135004172400 its reverse (4271400531), we get a palindrome (139275572931).

The spelling of 135004172400 in words is "one hundred thirty-five billion, four million, one hundred seventy-two thousand, four hundred".