135026870400 has 480 divisors, whose sum is σ = 507731984100. Its totient is φ = 35324190720.

The previous prime is 135026870387. The next prime is 135026870417. The reversal of 135026870400 is 4078620531.

135026870400 is a `hidden beast` number, since 1 + 350 + 268 + 7 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95451338304 + 39575532096 = 308952^2 + 198936^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 13732686 + ... + 13742514.

Almost surely, 2^135026870400 is an apocalyptic number.

135026870400 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 135026870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253865992050).

135026870400 is an abundant number, since it is smaller than the sum of its proper divisors (372705113700).

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

135026870400 is an equidigital number, since it uses as much as digits as its factorization.

135026870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 135026870400 in words is "one hundred thirty-five billion, twenty-six million, eight hundred seventy thousand, four hundred".