135643747400 has 384 divisors, whose sum is σ = 396590688000. Its totient is φ = 42094080000.

The previous prime is 135643747373. The next prime is 135643747441. The reversal of 135643747400 is 4747346531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77910530 + ... + 77912270.

It is an arithmetic number, because the mean of its divisors is an integer number (1032788250).

Almost surely, 2^135643747400 is an apocalyptic number.

135643747400 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 135643747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198295344000).

135643747400 is an abundant number, since it is smaller than the sum of its proper divisors (260946940600).

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

135643747400 is a wasteful number, since it uses less digits than its factorization.

135643747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 135643747400 in words is "one hundred thirty-five billion, six hundred forty-three million, seven hundred forty-seven thousand, four hundred".