133416442980 has 144 divisors (see below), whose sum is σ = 419868408960. Its totient is φ = 35562198528.

The previous prime is 133416442967. The next prime is 133416442997. The reversal of 133416442980 is 89244614331.

133416442980 is a `hidden beast` number, since 13 + 341 + 6 + 4 + 4 + 298 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15008097 + ... + 15016983.

It is an arithmetic number, because the mean of its divisors is an integer number (2915752840).

Almost surely, 2^133416442980 is an apocalyptic number.

133416442980 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 133416442980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209934204480).

133416442980 is an abundant number, since it is smaller than the sum of its proper divisors (286451965980).

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

133416442980 is a wasteful number, since it uses less digits than its factorization.

133416442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 133416442980 in words is "one hundred thirty-three billion, four hundred sixteen million, four hundred forty-two thousand, nine hundred eighty".