135055249920 has 120 divisors (see below), whose sum is σ = 467734394556. Its totient is φ = 36014727168.

The previous prime is 135055249897. The next prime is 135055249921. The reversal of 135055249920 is 29942550531.

135055249920 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 552 + 4 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127431864576 + 7623385344 = 356976^2 + 87312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135055249921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2907847 + ... + 2953926.

Almost surely, 2^135055249920 is an apocalyptic number.

135055249920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135055249920 is an abundant number, since it is smaller than the sum of its proper divisors (332679144636).

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

135055249920 is an equidigital number, since it uses as much as digits as its factorization.

135055249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861802 (or 5861783 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 135055249920 in words is "one hundred thirty-five billion, fifty-five million, two hundred forty-nine thousand, nine hundred twenty".