135758202944 has 252 divisors, whose sum is σ = 351926005824. Its totient is φ = 50869638144.

The previous prime is 135758202883. The next prime is 135758202959. The reversal of 135758202944 is 449202857531.

It is a junction number, because it is equal to n+sod(n) for n = 135758202892 and 135758202901.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27329549 + ... + 27334515.

Almost surely, 2^135758202944 is an apocalyptic number.

135758202944 is a gapful number since it is divisible by the number (14) 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 135758202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175963002912).

135758202944 is an abundant number, since it is smaller than the sum of its proper divisors (216167802880).

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

135758202944 is a wasteful number, since it uses less digits than its factorization.

135758202944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 135758202944 in words is "one hundred thirty-five billion, seven hundred fifty-eight million, two hundred two thousand, nine hundred forty-four".