135634682400 has 576 divisors, whose sum is σ = 514173090816. Its totient is φ = 30417408000.

The previous prime is 135634682389. The next prime is 135634682401. The reversal of 135634682400 is 4286436531.

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 (135634682401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294218170 + ... + 294218630.

It is an arithmetic number, because the mean of its divisors is an integer number (892661616).

Almost surely, 2^135634682400 is an apocalyptic number.

135634682400 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 135634682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257086545408).

135634682400 is an abundant number, since it is smaller than the sum of its proper divisors (378538408416).

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

135634682400 is a wasteful number, since it uses less digits than its factorization.

135634682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 135634682400 in words is "one hundred thirty-five billion, six hundred thirty-four million, six hundred eighty-two thousand, four hundred".