135426308400 has 240 divisors, whose sum is σ = 485541021600. Its totient is φ = 35849687040.

The previous prime is 135426308371. The next prime is 135426308401. The reversal of 135426308400 is 4803624531.

135426308400 is a `hidden beast` number, since 1 + 3 + 542 + 6 + 30 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×135426308400³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135426308401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433836 + ... + 1525364.

It is an arithmetic number, because the mean of its divisors is an integer number (2023087590).

Almost surely, 2^135426308400 is an apocalyptic number.

135426308400 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 135426308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242770510800).

135426308400 is an abundant number, since it is smaller than the sum of its proper divisors (350114713200).

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

135426308400 is a wasteful number, since it uses less digits than its factorization.

135426308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91693 (or 91676 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 135426308400 in words is "one hundred thirty-five billion, four hundred twenty-six million, three hundred eight thousand, four hundred".