133758432900 has 243 divisors, whose sum is σ = 427640950191. Its totient is φ = 34969639680.

The previous prime is 133758432881. The next prime is 133758432911. The reversal of 133758432900 is 9234857331.

The square root of 133758432900 is 365730.

It is a perfect power (a square), and thus also a powerful number.

133758432900 is a `hidden beast` number, since 1 + 3 + 37 + 584 + 32 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 731918916 + 133026513984 = 27054^2 + 364728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 800948617 + ... + 800948783.

Almost surely, 2^133758432900 is an apocalyptic number.

133758432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133758432900 is the 365730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133758432900

133758432900 is an abundant number, since it is smaller than the sum of its proper divisors (293882517291).

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

133758432900 is a wasteful number, since it uses less digits than its factorization.

133758432900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 133758432900 in words is "one hundred thirty-three billion, seven hundred fifty-eight million, four hundred thirty-two thousand, nine hundred".