135475786057248 has 1440 divisors, whose sum is σ = 516539780241408. Its totient is φ = 34489682841600.

The previous prime is 135475786057237. The next prime is 135475786057267. The reversal of 135475786057248 is 842750687574531.

135475786057248 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 7 + 5 + 7 + 8 + 6 + 0 + 572 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21548555161 + ... + 21548561447.

Almost surely, 2^{135475786057248} is an apocalyptic number.

135475786057248 is a gapful number since it is divisible by the number (18) 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 135475786057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258269890120704).

135475786057248 is an abundant number, since it is smaller than the sum of its proper divisors (381063994184160).

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

135475786057248 is a wasteful number, since it uses less digits than its factorization.

135475786057248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 135475786057248 in words is "one hundred thirty-five trillion, four hundred seventy-five billion, seven hundred eighty-six million, fifty-seven thousand, two hundred forty-eight".