135816124990 has 48 divisors (see below), whose sum is σ = 302538194208. Its totient is φ = 42983561088.

The previous prime is 135816124987. The next prime is 135816124993. The reversal of 135816124990 is 99421618531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135816124987) and next prime (135816124993).

It is a super-3 number, since 3×135816124990³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135816124993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5728497 + ... + 5752156.

It is an arithmetic number, because the mean of its divisors is an integer number (6302879046).

Almost surely, 2^135816124990 is an apocalyptic number.

135816124990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135816124990 is an abundant number, since it is smaller than the sum of its proper divisors (166722069218).

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

135816124990 is a wasteful number, since it uses less digits than its factorization.

135816124990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480693 (or 11480680 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 135816124990 in words is "one hundred thirty-five billion, eight hundred sixteen million, one hundred twenty-four thousand, nine hundred ninety".