135837746300 has 36 divisors (see below), whose sum is σ = 299600183736. Its totient is φ = 53444356800.

The previous prime is 135837746267. The next prime is 135837746321. The reversal of 135837746300 is 3647738531.

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 11 ways as a sum of consecutive naturals, for example, 11128142 + ... + 11140341.

It is an arithmetic number, because the mean of its divisors is an integer number (8322227326).

Almost surely, 2^135837746300 is an apocalyptic number.

135837746300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135837746300 is an abundant number, since it is smaller than the sum of its proper divisors (163762437436).

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

135837746300 is a wasteful number, since it uses less digits than its factorization.

135837746300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22268558 (or 22268551 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 135837746300 in words is "one hundred thirty-five billion, eight hundred thirty-seven million, seven hundred forty-six thousand, three hundred".