135779048543040 has 896 divisors, whose sum is σ = 513006525480960. Its totient is φ = 29773152460800.

The previous prime is 135779048542999. The next prime is 135779048543069. The reversal of 135779048543040 is 40345840977531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21514661485 + ... + 21514667795.

It is an arithmetic number, because the mean of its divisors is an integer number (572551925760).

Almost surely, 2^{135779048543040} is an apocalyptic number.

135779048543040 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 135779048543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256503262740480).

135779048543040 is an abundant number, since it is smaller than the sum of its proper divisors (377227476937920).

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

135779048543040 is a wasteful number, since it uses less digits than its factorization.

135779048543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 135779048543040 in words is "one hundred thirty-five trillion, seven hundred seventy-nine billion, forty-eight million, five hundred forty-three thousand, forty".