135730057244100 has 576 divisors, whose sum is σ = 453536699793408. Its totient is φ = 31016639808000.

The previous prime is 135730057244053. The next prime is 135730057244143. The reversal of 135730057244100 is 1442750037531.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17045086719 + ... + 17045094681.

It is an arithmetic number, because the mean of its divisors is an integer number (787390103808).

Almost surely, 2^{135730057244100} is an apocalyptic number.

135730057244100 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 135730057244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226768349896704).

135730057244100 is an abundant number, since it is smaller than the sum of its proper divisors (317806642549308).

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

135730057244100 is a wasteful number, since it uses less digits than its factorization.

135730057244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 135730057244100 in words is "one hundred thirty-five trillion, seven hundred thirty billion, fifty-seven million, two hundred forty-four thousand, one hundred".