133027277400 has 384 divisors, whose sum is σ = 464798822400. Its totient is φ = 34967462400.

The previous prime is 133027277389. The next prime is 133027277417. The reversal of 133027277400 is 4772720331.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122379657 + ... + 122380743.

It is an arithmetic number, because the mean of its divisors is an integer number (1210413600).

Almost surely, 2^133027277400 is an apocalyptic number.

133027277400 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 133027277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232399411200).

133027277400 is an abundant number, since it is smaller than the sum of its proper divisors (331771545000).

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

133027277400 is a wasteful number, since it uses less digits than its factorization.

133027277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

Adding to 133027277400 its reverse (4772720331), we get a palindrome (137799997731).

The spelling of 133027277400 in words is "one hundred thirty-three billion, twenty-seven million, two hundred seventy-seven thousand, four hundred".