133740205355856 has 160 divisors (see below), whose sum is σ = 396851378457600. Its totient is φ = 38383662551040.

The previous prime is 133740205355789. The next prime is 133740205355873. The reversal of 133740205355856 is 658553502047331.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 133740205355796 and 133740205355805.

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, 34337440 + ... + 38033408.

It is an arithmetic number, because the mean of its divisors is an integer number (2480321115360).

Almost surely, 2^{133740205355856} is an apocalyptic number.

133740205355856 is a gapful number since it is divisible by the number (16) 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 133740205355856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198425689228800).

133740205355856 is an abundant number, since it is smaller than the sum of its proper divisors (263111173101744).

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

133740205355856 is a wasteful number, since it uses less digits than its factorization.

133740205355856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699617 (or 3699611 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 57.

The spelling of 133740205355856 in words is "one hundred thirty-three trillion, seven hundred forty billion, two hundred five million, three hundred fifty-five thousand, eight hundred fifty-six".