135003723810160 has 80 divisors (see below), whose sum is σ = 324806884466400. Its totient is φ = 52123367697408.

The previous prime is 135003723810139. The next prime is 135003723810257. The reversal of 135003723810160 is 61018327300531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 1366899 + ... + 16488658.

It is an arithmetic number, because the mean of its divisors is an integer number (4060086055830).

Almost surely, 2^{135003723810160} is an apocalyptic number.

135003723810160 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 135003723810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162403442233200).

135003723810160 is an abundant number, since it is smaller than the sum of its proper divisors (189803160656240).

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

135003723810160 is a wasteful number, since it uses less digits than its factorization.

135003723810160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17858858 (or 17858852 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 135003723810160 in words is "one hundred thirty-five trillion, three billion, seven hundred twenty-three million, eight hundred ten thousand, one hundred sixty".