135010820 has 24 divisors (see below), whose sum is σ = 324026304. Its totient is φ = 46289376.

The previous prime is 135010819. The next prime is 135010823. The reversal of 135010820 is 28010531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135010792 and 135010801.

It is not an unprimeable number, because it can be changed into a prime (135010823) 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, 482042 + ... + 482321.

It is an arithmetic number, because the mean of its divisors is an integer number (13501096).

Almost surely, 2^135010820 is an apocalyptic number.

135010820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135010820 is an abundant number, since it is smaller than the sum of its proper divisors (189015484).

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

135010820 is a wasteful number, since it uses less digits than its factorization.

135010820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964379 (or 964377 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 135010820 is about 11619.4156479575. The cubic root of 135010820 is about 513.0064887774.

The spelling of 135010820 in words is "one hundred thirty-five million, ten thousand, eight hundred twenty".