135417420 has 60 divisors (see below), whose sum is σ = 424814544. Its totient is φ = 36110880.

The previous prime is 135417397. The next prime is 135417421. The reversal of 135417420 is 24714531.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135417421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40176 + ... + 43415.

Almost surely, 2^135417420 is an apocalyptic number.

135417420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135417420 is an abundant number, since it is smaller than the sum of its proper divisors (289397124).

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

135417420 is a wasteful number, since it uses less digits than its factorization.

135417420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83612 (or 83601 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 135417420 is about 11636.8990714881. The cubic root of 135417420 is about 513.5209645611.

The spelling of 135417420 in words is "one hundred thirty-five million, four hundred seventeen thousand, four hundred twenty".