135913144896 has 63 divisors (see below), whose sum is σ = 389595852633. Its totient is φ = 45301432320.

The previous prime is 135913144891. The next prime is 135913144967. The reversal of 135913144896 is 698441319531.

The square root of 135913144896 is 368664.

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

135913144896 is a `hidden beast` number, since 1 + 3 + 591 + 3 + 1 + 4 + 48 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104029471296 + 31883673600 = 322536^2 + 178560^2 .

It is not an unprimeable number, because it can be changed into a prime (135913144891) 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, 8840256 + ... + 8855616.

Almost surely, 2^135913144896 is an apocalyptic number.

135913144896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135913144896 is the 368664-th square number.

It is an amenable number.

135913144896 is an abundant number, since it is smaller than the sum of its proper divisors (253682707737).

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

135913144896 is an frugal number, since it uses more digits than its factorization.

135913144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30740 (or 15366 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 135913144896 in words is "one hundred thirty-five billion, nine hundred thirteen million, one hundred forty-four thousand, eight hundred ninety-six".