135214464 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 32931840.

The previous prime is 135214451. The next prime is 135214477. The reversal of 135214464 is 464412531.

It is an interprime number because it is at equal distance from previous prime (135214451) and next prime (135214477).

It is a congruent number.

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, 502522 + ... + 502790.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^135214464 is an apocalyptic number.

135214464 is a gapful number since it is divisible by the number (14) 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 135214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

135214464 is an abundant number, since it is smaller than the sum of its proper divisors (340676736).

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

135214464 is a wasteful number, since it uses less digits than its factorization.

135214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 135214464 is about 11628.1754372730. The cubic root of 135214464 is about 513.2642908586.

Adding to 135214464 its reverse (464412531), we get a palindrome (599626995).

The spelling of 135214464 in words is "one hundred thirty-five million, two hundred fourteen thousand, four hundred sixty-four".