133553214512640 has 800 divisors, whose sum is σ = 545443828110720. Its totient is φ = 30940824600576.

The previous prime is 133553214512633. The next prime is 133553214512651. The reversal of 133553214512640 is 46215412355331.

133553214512640 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 53 + 21 + 4 + 512 + 64 + 0 = 666.

It is a super-2 number, since 2×133553214512640² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44369401 + ... + 47283719.

Almost surely, 2^{133553214512640} is an apocalyptic number.

133553214512640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133553214512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272721914055360).

133553214512640 is an abundant number, since it is smaller than the sum of its proper divisors (411890613598080).

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

133553214512640 is a wasteful number, since it uses less digits than its factorization.

133553214512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914384 (or 2914359 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 133553214512640 its reverse (46215412355331), we get a palindrome (179768626867971).

The spelling of 133553214512640 in words is "one hundred thirty-three trillion, five hundred fifty-three billion, two hundred fourteen million, five hundred twelve thousand, six hundred forty".