133001432400 has 60 divisors (see below), whose sum is σ = 426047925632. Its totient is φ = 35467048320.

The previous prime is 133001432393. The next prime is 133001432437. The reversal of 133001432400 is 4234100331.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×133001432400⁴ (a number of 46 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 55416064 + ... + 55418463.

Almost surely, 2^133001432400 is an apocalyptic number.

133001432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133001432400 is an abundant number, since it is smaller than the sum of its proper divisors (293046493232).

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

133001432400 is a wasteful number, since it uses less digits than its factorization.

133001432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110834548 (or 110834537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133001432400 its reverse (4234100331), we get a palindrome (137235532731).

The spelling of 133001432400 in words is "one hundred thirty-three billion, one million, four hundred thirty-two thousand, four hundred".