135247417600 has 81 divisors (see below), whose sum is σ = 334831327887. Its totient is φ = 54087198720.

The previous prime is 135247417589. The next prime is 135247417609. The reversal of 135247417600 is 6714742531.

The square root of 135247417600 is 367760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50226188544 + 85021229056 = 224112^2 + 291584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135247417609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29418502 + ... + 29423098.

Almost surely, 2^135247417600 is an apocalyptic number.

135247417600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135247417600 is the 367760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135247417600

135247417600 is an abundant number, since it is smaller than the sum of its proper divisors (199583910287).

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

135247417600 is an frugal number, since it uses more digits than its factorization.

135247417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 135247417600 in words is "one hundred thirty-five billion, two hundred forty-seven million, four hundred seventeen thousand, six hundred".