135770544583680 has 352 divisors, whose sum is σ = 439407226500480. Its totient is φ = 35777491763200.

The previous prime is 135770544583651. The next prime is 135770544583727. The reversal of 135770544583680 is 86385445077531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658948516 + ... + 659154524.

Almost surely, 2^{135770544583680} is an apocalyptic number.

135770544583680 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 135770544583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219703613250240).

135770544583680 is an abundant number, since it is smaller than the sum of its proper divisors (303636681916800).

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

135770544583680 is a wasteful number, since it uses less digits than its factorization.

135770544583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206545 (or 206527 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 66.

The spelling of 135770544583680 in words is "one hundred thirty-five trillion, seven hundred seventy billion, five hundred forty-four million, five hundred eighty-three thousand, six hundred eighty".