133496416800 has 864 divisors, whose sum is σ = 529756718400. Its totient is φ = 31434670080.

The previous prime is 133496416787. The next prime is 133496416813. The reversal of 133496416800 is 8614694331.

It is an interprime number because it is at equal distance from previous prime (133496416787) and next prime (133496416813).

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 143 ways as a sum of consecutive naturals, for example, 318606991 + ... + 318607409.

It is an arithmetic number, because the mean of its divisors is an integer number (613144350).

Almost surely, 2^133496416800 is an apocalyptic number.

133496416800 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 133496416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264878359200).

133496416800 is an abundant number, since it is smaller than the sum of its proper divisors (396260301600).

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

133496416800 is a wasteful number, since it uses less digits than its factorization.

133496416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 133496416800 in words is "one hundred thirty-three billion, four hundred ninety-six million, four hundred sixteen thousand, eight hundred".