135723710400 has 336 divisors, whose sum is σ = 459054451968. Its totient is φ = 35085312000.

The previous prime is 135723710387. The next prime is 135723710459. The reversal of 135723710400 is 4017327531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32076285 + ... + 32080515.

It is an arithmetic number, because the mean of its divisors is an integer number (1366233488).

Almost surely, 2^135723710400 is an apocalyptic number.

135723710400 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 135723710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229527225984).

135723710400 is an abundant number, since it is smaller than the sum of its proper divisors (323330741568).

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

135723710400 is a wasteful number, since it uses less digits than its factorization.

135723710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 135723710400 in words is "one hundred thirty-five billion, seven hundred twenty-three million, seven hundred ten thousand, four hundred".