135429420 has 96 divisors (see below), whose sum is σ = 448358400. Its totient is φ = 29885184.

The previous prime is 135429409. The next prime is 135429433. The reversal of 135429420 is 24924531.

It is a super-2 number, since 2×135429420² = 36682255603072800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6621 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (4670400).

Almost surely, 2^135429420 is an apocalyptic number.

135429420 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 135429420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224179200).

135429420 is an abundant number, since it is smaller than the sum of its proper divisors (312928980).

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

135429420 is a wasteful number, since it uses less digits than its factorization.

135429420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135429420 is about 11637.4146613412. The cubic root of 135429420 is about 513.5361326479.

The spelling of 135429420 in words is "one hundred thirty-five million, four hundred twenty-nine thousand, four hundred twenty".