135792724640 has 96 divisors (see below), whose sum is σ = 332223017616. Its totient is φ = 52418396160.

The previous prime is 135792724631. The next prime is 135792724673. The reversal of 135792724640 is 46427297531.

It can be written as a sum of positive squares in 8 ways, for example, as 47994293776 + 87798430864 = 219076^2 + 296308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386024 + ... + 648536.

Almost surely, 2^135792724640 is an apocalyptic number.

135792724640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135792724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166111508808).

135792724640 is an abundant number, since it is smaller than the sum of its proper divisors (196430292976).

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

135792724640 is a wasteful number, since it uses less digits than its factorization.

135792724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262642 (or 262634 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 135792724640 in words is "one hundred thirty-five billion, seven hundred ninety-two million, seven hundred twenty-four thousand, six hundred forty".