133288052400 has 90 divisors (see below), whose sum is σ = 462546578780. Its totient is φ = 35543479680.

The previous prime is 133288052393. The next prime is 133288052461. The reversal of 133288052400 is 4250882331.

133288052400 is a `hidden beast` number, since 1 + 33 + 28 + 80 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 18508630 + ... + 18515829.

Almost surely, 2^133288052400 is an apocalyptic number.

133288052400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133288052400 is an abundant number, since it is smaller than the sum of its proper divisors (329258526380).

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

133288052400 is a wasteful number, since it uses less digits than its factorization.

133288052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37024483 (or 37024469 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 1332880 and 52400, that added together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 133288052400 in words is "one hundred thirty-three billion, two hundred eighty-eight million, fifty-two thousand, four hundred".