135401615888400 has 135 divisors (see below), whose sum is σ = 469883641560151. Its totient is φ = 36106911390720.

The previous prime is 135401615888359. The next prime is 135401615888431. The reversal of 135401615888400 is 4888516104531.

The square root of 135401615888400 is 11636220.

It is a perfect power (a square), and thus also a powerful number.

135401615888400 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 0 + 1 + 6 + 158 + 88 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1250738036496 + 134150877851904 = 1118364^2 + 11582352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 698076232 + ... + 698270168.

Almost surely, 2^{135401615888400} is an apocalyptic number.

135401615888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135401615888400 is the 11636220-th square number.

It is an amenable number.

135401615888400 is an abundant number, since it is smaller than the sum of its proper divisors (334482025671751).

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

135401615888400 is an frugal number, since it uses more digits than its factorization.

135401615888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387898 (or 193947 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 135401615888400 in words is "one hundred thirty-five trillion, four hundred one billion, six hundred fifteen million, eight hundred eighty-eight thousand, four hundred".