135400960 has 80 divisors (see below), whose sum is σ = 327474576. Its totient is φ = 53690368.

The previous prime is 135400957. The next prime is 135400961. The reversal of 135400960 is 69004531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135400961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581004 + ... + 581236.

Almost surely, 2^135400960 is an apocalyptic number.

135400960 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 135400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163737288).

135400960 is an abundant number, since it is smaller than the sum of its proper divisors (192073616).

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

135400960 is an equidigital number, since it uses as much as digits as its factorization.

135400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 135400960 is about 11636.1918169133. The cubic root of 135400960 is about 513.5001575444.

The spelling of 135400960 in words is "one hundred thirty-five million, four hundred thousand, nine hundred sixty".