135412220500 has 24 divisors (see below), whose sum is σ = 295740290664. Its totient is φ = 54164888000.

The previous prime is 135412220467. The next prime is 135412220507. The reversal of 135412220500 is 5022214531.

It can be written as a sum of positive squares in 4 ways, for example, as 1363972624 + 134048247876 = 36932^2 + 366126^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135412220507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135411721 + ... + 135412720.

It is an arithmetic number, because the mean of its divisors is an integer number (12322512111).

Almost surely, 2^135412220500 is an apocalyptic number.

135412220500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135412220500 is an abundant number, since it is smaller than the sum of its proper divisors (160328070164).

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

135412220500 is a wasteful number, since it uses less digits than its factorization.

135412220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270824460 (or 270824448 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 135412220500 in words is "one hundred thirty-five billion, four hundred twelve million, two hundred twenty thousand, five hundred".