135745098424320 has 1792 divisors, whose sum is σ = 560768241106944. Its totient is φ = 27210940416000.

The previous prime is 135745098424291. The next prime is 135745098424333. The reversal of 135745098424320 is 23424890547531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136977899025 + ... + 136977900015.

Almost surely, 2^{135745098424320} is an apocalyptic number.

135745098424320 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 135745098424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280384120553472).

135745098424320 is an abundant number, since it is smaller than the sum of its proper divisors (425023142682624).

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

135745098424320 is a wasteful number, since it uses less digits than its factorization.

135745098424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 135745098424320 in words is "one hundred thirty-five trillion, seven hundred forty-five billion, ninety-eight million, four hundred twenty-four thousand, three hundred twenty".