135450640 has 40 divisors (see below), whose sum is σ = 339150168. Its totient is φ = 50012160.

The previous prime is 135450587. The next prime is 135450643. The reversal of 135450640 is 46054531.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 131239936 = 2052^2 + 11456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135450599 and 135450608.

It is not an unprimeable number, because it can be changed into a prime (135450643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64081 + ... + 66160.

Almost surely, 2^135450640 is an apocalyptic number.

135450640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135450640 is an abundant number, since it is smaller than the sum of its proper divisors (203699528).

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

135450640 is a wasteful number, since it uses less digits than its factorization.

135450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130267 (or 130261 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 135450640 is about 11638.3263401573. The cubic root of 135450640 is about 513.5629526886.

It can be divided in two parts, 135 and 450640, that added together give a triangular number (450775 = T₉₄₉).

The spelling of 135450640 in words is "one hundred thirty-five million, four hundred fifty thousand, six hundred forty".