135941701297248 has 2304 divisors, whose sum is σ = 536836357693440. Its totient is φ = 33049468108800.

The previous prime is 135941701297243. The next prime is 135941701297279. The reversal of 135941701297248 is 842792107149531.

135941701297248 is a `hidden beast` number, since 1 + 3 + 5 + 94 + 17 + 0 + 1 + 297 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135941701297243) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 315409979593 + ... + 315409980023.

It is an arithmetic number, because the mean of its divisors is an integer number (233001891360).

Almost surely, 2^{135941701297248} is an apocalyptic number.

135941701297248 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 135941701297248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268418178846720).

135941701297248 is an abundant number, since it is smaller than the sum of its proper divisors (400894656396192).

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

135941701297248 is a wasteful number, since it uses less digits than its factorization.

135941701297248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 135941701297248 in words is "one hundred thirty-five trillion, nine hundred forty-one billion, seven hundred one million, two hundred ninety-seven thousand, two hundred forty-eight".