135400449024 has 99 divisors (see below), whose sum is σ = 391067884753. Its totient is φ = 45121708032.

The previous prime is 135400449017. The next prime is 135400449053. The reversal of 135400449024 is 420944004531.

The square root of 135400449024 is 367968.

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

135400449024 is a `hidden beast` number, since 1 + 3 + 540 + 0 + 4 + 4 + 90 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29364249600 + 106036199424 = 171360^2 + 325632^2 .

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

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 135400449024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35323012 + ... + 35326844.

Almost surely, 2^135400449024 is an apocalyptic number.

135400449024 is the 367968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135400449024

135400449024 is an abundant number, since it is smaller than the sum of its proper divisors (255667435729).

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

135400449024 is an frugal number, since it uses more digits than its factorization.

135400449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 135400449024 by its sum of digits (36), we get a square (4874416164864 = 2207808²).

135400449024 divided by its sum of digits (36) gives a square (3761123584 = 61328²).

The spelling of 135400449024 in words is "one hundred thirty-five billion, four hundred million, four hundred forty-nine thousand, twenty-four".