135981409140000 has 2880 divisors, whose sum is σ = 556096620119040. Its totient is φ = 31313018880000.

The previous prime is 135981409139987. The next prime is 135981409140011. The reversal of 135981409140000 is 41904189531.

135981409140000 is a `hidden beast` number, since 1 + 3 + 598 + 1 + 40 + 9 + 14 + 0 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×135981409140000⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 205720739670 + ... + 205720740330.

It is an arithmetic number, because the mean of its divisors is an integer number (193089104208).

Almost surely, 2^{135981409140000} is an apocalyptic number.

135981409140000 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 135981409140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278048310059520).

135981409140000 is an abundant number, since it is smaller than the sum of its proper divisors (420115210979040).

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

135981409140000 is a wasteful number, since it uses less digits than its factorization.

135981409140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 135981409140000 in words is "one hundred thirty-five trillion, nine hundred eighty-one billion, four hundred nine million, one hundred forty thousand".