135412520100 has 144 divisors (see below), whose sum is σ = 460289081280. Its totient is φ = 30302092800.

The previous prime is 135412520059. The next prime is 135412520147. The reversal of 135412520100 is 1025214531.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1535335 + ... + 1621134.

Almost surely, 2^135412520100 is an apocalyptic number.

135412520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135412520100 is an abundant number, since it is smaller than the sum of its proper divisors (324876561180).

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

135412520100 is a wasteful number, since it uses less digits than its factorization.

135412520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156510 (or 3156503 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 135412520100 its reverse (1025214531), we get a palindrome (136437734631).

The spelling of 135412520100 in words is "one hundred thirty-five billion, four hundred twelve million, five hundred twenty thousand, one hundred".