135367373783040 has 1536 divisors, whose sum is σ = 561643925673600. Its totient is φ = 27586776268800.

The previous prime is 135367373783029. The next prime is 135367373783129. The reversal of 135367373783040 is 40387373763531.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7779278340 + ... + 7779295740.

Almost surely, 2^{135367373783040} is an apocalyptic number.

135367373783040 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 135367373783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280821962836800).

135367373783040 is an abundant number, since it is smaller than the sum of its proper divisors (426276551890560).

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

135367373783040 is a wasteful number, since it uses less digits than its factorization.

135367373783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 60.

The spelling of 135367373783040 in words is "one hundred thirty-five trillion, three hundred sixty-seven billion, three hundred seventy-three million, seven hundred eighty-three thousand, forty".