135214920 has 112 divisors (see below), whose sum is σ = 456240060. Its totient is φ = 36049536.

The previous prime is 135214903. The next prime is 135214931. The reversal of 135214920 is 29412531.

It can be written as a sum of positive squares in 2 ways, for example, as 129823236 + 5391684 = 11394^2 + 2322^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26842 + ... + 31478.

Almost surely, 2^135214920 is an apocalyptic number.

135214920 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 135214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228120030).

135214920 is an abundant number, since it is smaller than the sum of its proper divisors (321025140).

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

135214920 is an equidigital number, since it uses as much as digits as its factorization.

135214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135214920 is about 11628.1950448038. The cubic root of 135214920 is about 513.2648678389.

The spelling of 135214920 in words is "one hundred thirty-five million, two hundred fourteen thousand, nine hundred twenty".