135210348 has 144 divisors (see below), whose sum is σ = 425006400. Its totient is φ = 35292672.

The previous prime is 135210347. The next prime is 135210371. The reversal of 135210348 is 843012531.

135210348 = 4³ + 5³ + ... + 152³.

It is a happy number.

It is a super-2 number, since 2×135210348² = 36563676412562208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135210347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487986 + ... + 488262.

Almost surely, 2^135210348 is an apocalyptic number.

135210348 is a gapful number since it is divisible by the number (18) 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 135210348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212503200).

135210348 is an abundant number, since it is smaller than the sum of its proper divisors (289796052).

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

135210348 is a wasteful number, since it uses less digits than its factorization.

135210348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135210348 is about 11627.9984520123. The cubic root of 135210348 is about 513.2590827934.

Adding to 135210348 its reverse (843012531), we get a palindrome (978222879).

The spelling of 135210348 in words is "one hundred thirty-five million, two hundred ten thousand, three hundred forty-eight".