135692390400 has 624 divisors, whose sum is σ = 519217660800. Its totient is φ = 30623662080.

The previous prime is 135692390363. The next prime is 135692390401. The reversal of 135692390400 is 4093296531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135692390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191385246 + ... + 191385954.

Almost surely, 2^135692390400 is an apocalyptic number.

135692390400 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 135692390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259608830400).

135692390400 is an abundant number, since it is smaller than the sum of its proper divisors (383525270400).

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

135692390400 is an equidigital number, since it uses as much as digits as its factorization.

135692390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 135692390400 in words is "one hundred thirty-five billion, six hundred ninety-two million, three hundred ninety thousand, four hundred".