135557822400000 has 3840 divisors, whose sum is σ = 614804110018560. Its totient is φ = 25627852800000.

The previous prime is 135557822399983. The next prime is 135557822400059. The reversal of 135557822400000 is 4228755531.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 427627199842 + ... + 427627200158.

It is an arithmetic number, because the mean of its divisors is an integer number (160105236984).

Almost surely, 2^{135557822400000} is an apocalyptic number.

135557822400000 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 135557822400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307402055009280).

135557822400000 is an abundant number, since it is smaller than the sum of its proper divisors (479246287618560).

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

135557822400000 is an equidigital number, since it uses as much as digits as its factorization.

135557822400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 135557822400000 in words is "one hundred thirty-five trillion, five hundred fifty-seven billion, eight hundred twenty-two million, four hundred thousand".