135029480625 has 360 divisors, whose sum is σ = 290524033800. Its totient is φ = 62145792000.

The previous prime is 135029480587. The next prime is 135029480657. The reversal of 135029480625 is 526084920531.

135029480625 is a `hidden beast` number, since 1 + 3 + 502 + 9 + 4 + 80 + 62 + 5 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 131740687521 + 3288793104 = 362961^2 + 57348^2 .

It is not a de Polignac number, because 135029480625 - 2⁶ = 135029480561 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 906238051 + ... + 906238199.

It is an arithmetic number, because the mean of its divisors is an integer number (807011205).

Almost surely, 2^135029480625 is an apocalyptic number.

135029480625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135029480625 is an abundant number, since it is smaller than the sum of its proper divisors (155494553175).

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

135029480625 is an frugal number, since it uses more digits than its factorization.

135029480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135029480625 in words is "one hundred thirty-five billion, twenty-nine million, four hundred eighty thousand, six hundred twenty-five".