133406552400 has 120 divisors (see below), whose sum is σ = 466195307424. Its totient is φ = 32340979200.

The previous prime is 133406552381. The next prime is 133406552407. The reversal of 133406552400 is 4255604331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133406552407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5040079 + ... + 5066478.

Almost surely, 2^133406552400 is an apocalyptic number.

133406552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133406552400 is an abundant number, since it is smaller than the sum of its proper divisors (332788755024).

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

133406552400 is a wasteful number, since it uses less digits than its factorization.

133406552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106589 (or 10106578 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 133406552400 in words is "one hundred thirty-three billion, four hundred six million, five hundred fifty-two thousand, four hundred".