135556512400 has 135 divisors (see below), whose sum is σ = 334556651953. Its totient is φ = 52782284800.

The previous prime is 135556512397. The next prime is 135556512401. The reversal of 135556512400 is 4215655531.

It is a happy number.

The square root of 135556512400 is 368180.

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

It can be written as a sum of positive squares in 13 ways, for example, as 130647548304 + 4908964096 = 361452^2 + 70064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135556512400.

It is not an unprimeable number, because it can be changed into a prime (135556512401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301907376 + ... + 301907824.

Almost surely, 2^135556512400 is an apocalyptic number.

135556512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135556512400 is the 368180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135556512400

135556512400 is an abundant number, since it is smaller than the sum of its proper divisors (199000139553).

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

135556512400 is an frugal number, since it uses more digits than its factorization.

135556512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 135556512400 in words is "one hundred thirty-five billion, five hundred fifty-six million, five hundred twelve thousand, four hundred".