135457230696480 has 3456 divisors, whose sum is σ = 631558732057344. Its totient is φ = 27088846848000.

The previous prime is 135457230696461. The next prime is 135457230696497. The reversal of 135457230696480 is 84696032754531.

135457230696480 is a `hidden beast` number, since 1 + 3 + 5 + 45 + 7 + 23 + 0 + 6 + 96 + 480 = 666.

It is a super-2 number, since 2×135457230696480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 75212231580 + ... + 75212233380.

It is an arithmetic number, because the mean of its divisors is an integer number (182742688674).

It is a 1-persistent number, because it is pandigital, but 2⋅135457230696480 = 270914461392960 is not.

Almost surely, 2^{135457230696480} is an apocalyptic number.

135457230696480 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 135457230696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315779366028672).

135457230696480 is an abundant number, since it is smaller than the sum of its proper divisors (496101501360864).

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

135457230696480 is a wasteful number, since it uses less digits than its factorization.

135457230696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 135457230696480 in words is "one hundred thirty-five trillion, four hundred fifty-seven billion, two hundred thirty million, six hundred ninety-six thousand, four hundred eighty".