135933450 has 144 divisors (see below), whose sum is σ = 372351168. Its totient is φ = 32736000.

The previous prime is 135933443. The next prime is 135933487. The reversal of 135933450 is 54339531.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3315430 + ... + 3315470.

It is an arithmetic number, because the mean of its divisors is an integer number (2585772).

Almost surely, 2^135933450 is an apocalyptic number.

135933450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135933450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186175584).

135933450 is an abundant number, since it is smaller than the sum of its proper divisors (236417718).

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

135933450 is a wasteful number, since it uses less digits than its factorization.

135933450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 135933450 is about 11659.0501328367. The cubic root of 135933450 is about 514.1724226860.

It can be divided in two parts, 135 and 933450, that multiplied together give a triangular number (126015750 = T₁₅₈₇₅).

The spelling of 135933450 in words is "one hundred thirty-five million, nine hundred thirty-three thousand, four hundred fifty".