135416200120 has 128 divisors (see below), whose sum is σ = 319352647680. Its totient is φ = 51615360000.

The previous prime is 135416200057. The next prime is 135416200141. The reversal of 135416200120 is 21002614531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93325395 + ... + 93326845.

It is an arithmetic number, because the mean of its divisors is an integer number (2494942560).

Almost surely, 2^135416200120 is an apocalyptic number.

135416200120 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 135416200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159676323840).

135416200120 is an abundant number, since it is smaller than the sum of its proper divisors (183936447560).

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

135416200120 is a wasteful number, since it uses less digits than its factorization.

135416200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 135416200120 its reverse (21002614531), we get a palindrome (156418814651).

The spelling of 135416200120 in words is "one hundred thirty-five billion, four hundred sixteen million, two hundred thousand, one hundred twenty".