133880900400 has 360 divisors, whose sum is σ = 501136206480. Its totient is φ = 32903055360.

The previous prime is 133880900393. The next prime is 133880900429. The reversal of 133880900400 is 4009088331.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35425711 + ... + 35429489.

It is an arithmetic number, because the mean of its divisors is an integer number (1392045018).

Almost surely, 2^133880900400 is an apocalyptic number.

133880900400 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 133880900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250568103240).

133880900400 is an abundant number, since it is smaller than the sum of its proper divisors (367255306080).

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

133880900400 is a wasteful number, since it uses less digits than its factorization.

133880900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 133880900400 its reverse (4009088331), we get a palindrome (137889988731).

The spelling of 133880900400 in words is "one hundred thirty-three billion, eight hundred eighty million, nine hundred thousand, four hundred".