133124743600640 has 160 divisors (see below), whose sum is σ = 351794150858304. Its totient is φ = 47909934858240.

The previous prime is 133124743600633. The next prime is 133124743600663. The reversal of 133124743600640 is 46006347421331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×133124743600640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 133124743600591 and 133124743600600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21636734 + ... + 27099773.

Almost surely, 2^{133124743600640} is an apocalyptic number.

133124743600640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133124743600640 is an abundant number, since it is smaller than the sum of its proper divisors (218669407257664).

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

133124743600640 is an equidigital number, since it uses as much as digits as its factorization.

133124743600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48736638 (or 48736622 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 133124743600640 in words is "one hundred thirty-three trillion, one hundred twenty-four billion, seven hundred forty-three million, six hundred thousand, six hundred forty".