135419520 has 128 divisors (see below), whose sum is σ = 434911680. Its totient is φ = 35840000.

The previous prime is 135419503. The next prime is 135419567. The reversal of 135419520 is 25914531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 481780 + ... + 482060.

Almost surely, 2^135419520 is an apocalyptic number.

135419520 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 135419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217455840).

135419520 is an abundant number, since it is smaller than the sum of its proper divisors (299492160).

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

135419520 is a wasteful number, since it uses less digits than its factorization.

135419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 135419520 is about 11636.9893013614. The cubic root of 135419520 is about 513.5236190410.

The spelling of 135419520 in words is "one hundred thirty-five million, four hundred nineteen thousand, five hundred twenty".