133705376000 has 144 divisors (see below), whose sum is σ = 380659843200. Its totient is φ = 45841766400.

The previous prime is 133705375963. The next prime is 133705376027. The reversal of 133705376000 is 673507331.

133705376000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74450 + ... + 522449.

Almost surely, 2^133705376000 is an apocalyptic number.

133705376000 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 133705376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190329921600).

133705376000 is an abundant number, since it is smaller than the sum of its proper divisors (246954467200).

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

133705376000 is an frugal number, since it uses more digits than its factorization.

133705376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596937 (or 596913 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 35.

The spelling of 133705376000 in words is "one hundred thirty-three billion, seven hundred five million, three hundred seventy-six thousand".