135366389547840 has 336 divisors, whose sum is σ = 519743979982656. Its totient is φ = 32052929126400.

The previous prime is 135366389547811. The next prime is 135366389547847. The reversal of 135366389547840 is 48745983663531.

It is a happy number.

135366389547840 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 6 + 6 + 38 + 9 + 547 + 8 + 40 = 666.

It is a super-3 number, since 3×135366389547840³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135366389547847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48322981 + ... + 51047460.

Almost surely, 2^{135366389547840} is an apocalyptic number.

135366389547840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135366389547840 is an abundant number, since it is smaller than the sum of its proper divisors (384377590434816).

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

135366389547840 is a wasteful number, since it uses less digits than its factorization.

135366389547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99370518 (or 99370505 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 135366389547840 in words is "one hundred thirty-five trillion, three hundred sixty-six billion, three hundred eighty-nine million, five hundred forty-seven thousand, eight hundred forty".