135724999760 has 160 divisors (see below), whose sum is σ = 379853664000. Its totient is φ = 44058193920.

The previous prime is 135724999699. The next prime is 135724999777. The reversal of 135724999760 is 67999427531.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135724999693 and 135724999702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24905516 + ... + 24910964.

It is an arithmetic number, because the mean of its divisors is an integer number (2374085400).

Almost surely, 2^135724999760 is an apocalyptic number.

135724999760 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 135724999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189926832000).

135724999760 is an abundant number, since it is smaller than the sum of its proper divisors (244128664240).

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

135724999760 is a wasteful number, since it uses less digits than its factorization.

135724999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 62.

The spelling of 135724999760 in words is "one hundred thirty-five billion, seven hundred twenty-four million, nine hundred ninety-nine thousand, seven hundred sixty".