135036496 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 50181120.

The previous prime is 135036487. The next prime is 135036497. The reversal of 135036496 is 694630531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135036497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517220 + ... + 1517308.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^135036496 is an apocalyptic number.

135036496 is a gapful number since it is divisible by the number (16) 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 135036496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

135036496 is an abundant number, since it is smaller than the sum of its proper divisors (207798704).

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

135036496 is a wasteful number, since it uses less digits than its factorization.

135036496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 135036496 is about 11620.5204702715. The cubic root of 135036496 is about 513.0390074543.

It can be divided in two parts, 135036 and 496, that multiplied together give a square (66977856 = 8184²).

The spelling of 135036496 in words is "one hundred thirty-five million, thirty-six thousand, four hundred ninety-six".