135954080 has 96 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 52403200.

The previous prime is 135954061. The next prime is 135954097. The reversal of 135954080 is 80459531.

It is a self number, because there is not a number n which added to its sum of digits gives 135954080.

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, 759431 + ... + 759609.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^135954080 is an apocalyptic number.

135954080 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 135954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

135954080 is an abundant number, since it is smaller than the sum of its proper divisors (197169760).

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

135954080 is a wasteful number, since it uses less digits than its factorization.

135954080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 135954080 is about 11659.9348197149. The cubic root of 135954080 is about 514.1984325718.

The spelling of 135954080 in words is "one hundred thirty-five million, nine hundred fifty-four thousand, eighty".