133465024006400 has 108 divisors (see below), whose sum is σ = 331574847578100. Its totient is φ = 53187547914240.

The previous prime is 133465024006381. The next prime is 133465024006453. The reversal of 133465024006400 is 4600420564331.

It can be written as a sum of positive squares in 6 ways, for example, as 352133054464 + 133112890951936 = 593408^2 + 11537456^2 .

It is a super-3 number, since 3×133465024006400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37040315 + ... + 40483514.

It is an arithmetic number, because the mean of its divisors is an integer number (3070137477575).

Almost surely, 2^{133465024006400} is an apocalyptic number.

133465024006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133465024006400 is an abundant number, since it is smaller than the sum of its proper divisors (198109823571700).

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

133465024006400 is an equidigital number, since it uses as much as digits as its factorization.

133465024006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77524124 (or 77524105 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 133465024006400 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, twenty-four million, six thousand, four hundred".