133377840000 has 560 divisors, whose sum is σ = 498043637520. Its totient is φ = 35551872000.

The previous prime is 133377839999. The next prime is 133377840047. The reversal of 133377840000 is 48773331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58318857 + ... + 58321143.

Almost surely, 2^133377840000 is an apocalyptic number.

133377840000 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 133377840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249021818760).

133377840000 is an abundant number, since it is smaller than the sum of its proper divisors (364665797520).

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

133377840000 is an frugal number, since it uses more digits than its factorization.

133377840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 133377840000 in words is "one hundred thirty-three billion, three hundred seventy-seven million, eight hundred forty thousand".