135875031300 has 216 divisors, whose sum is σ = 452673277056. Its totient is φ = 33971297280.

The previous prime is 135875031251. The next prime is 135875031319. The reversal of 135875031300 is 3130578531.

It is a happy number.

135875031300 is a `hidden beast` number, since 13 + 5 + 8 + 7 + 503 + 130 + 0 = 666.

135875031300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4007017 + ... + 4040783.

It is an arithmetic number, because the mean of its divisors is an integer number (2095709616).

Almost surely, 2^135875031300 is an apocalyptic number.

135875031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135875031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226336638528).

135875031300 is an abundant number, since it is smaller than the sum of its proper divisors (316798245756).

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

135875031300 is a wasteful number, since it uses less digits than its factorization.

135875031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34067 (or 34057 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 135875031300 in words is "one hundred thirty-five billion, eight hundred seventy-five million, thirty-one thousand, three hundred".