135416420 has 48 divisors (see below), whose sum is σ = 300397440. Its totient is φ = 51134976.

The previous prime is 135416419. The next prime is 135416423. The reversal of 135416420 is 24614531.

It is a self number, because there is not a number n which added to its sum of digits gives 135416420.

It is not an unprimeable number, because it can be changed into a prime (135416423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164129 + ... + 164951.

It is an arithmetic number, because the mean of its divisors is an integer number (6258280).

Almost surely, 2^135416420 is an apocalyptic number.

135416420 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 135416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150198720).

135416420 is an abundant number, since it is smaller than the sum of its proper divisors (164981020).

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

135416420 is a wasteful number, since it uses less digits than its factorization.

135416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 135416420 is about 11636.8561046358. The cubic root of 135416420 is about 513.5197005134.

The spelling of 135416420 in words is "one hundred thirty-five million, four hundred sixteen thousand, four hundred twenty".