133332654744576 has 297 divisors, whose sum is σ = 447877562768571. Its totient is φ = 38092827193344.

The previous prime is 133332654744563. The next prime is 133332654744613. The reversal of 133332654744576 is 675447456233331.

The square root of 133332654744576 is 11546976.

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

133332654744576 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 2 + 6 + 54 + 7 + 4 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7759559281 + ... + 7759576463.

Almost surely, 2^{133332654744576} is an apocalyptic number.

133332654744576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133332654744576 is the 11546976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133332654744576

133332654744576 is an abundant number, since it is smaller than the sum of its proper divisors (314544908023995).

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

133332654744576 is an frugal number, since it uses more digits than its factorization.

133332654744576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34406 (or 17195 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 63.

The spelling of 133332654744576 in words is "one hundred thirty-three trillion, three hundred thirty-two billion, six hundred fifty-four million, seven hundred forty-four thousand, five hundred seventy-six".