135372623120 has 80 divisors (see below), whose sum is σ = 360018088320. Its totient is φ = 46372995072.

The previous prime is 135372623117. The next prime is 135372623207. The reversal of 135372623120 is 21326273531.

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 (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540851 + ... + 750509.

It is an arithmetic number, because the mean of its divisors is an integer number (4500226104).

Almost surely, 2^135372623120 is an apocalyptic number.

135372623120 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 135372623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180009044160).

135372623120 is an abundant number, since it is smaller than the sum of its proper divisors (224645465200).

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

135372623120 is a wasteful number, since it uses less digits than its factorization.

135372623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210832 (or 210826 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 135372623120 its reverse (21326273531), we get a palindrome (156698896651).

The spelling of 135372623120 in words is "one hundred thirty-five billion, three hundred seventy-two million, six hundred twenty-three thousand, one hundred twenty".