133473792356352 has 1820 divisors, whose sum is σ = 492620412417200. Its totient is φ = 36128244547584.

The previous prime is 133473792356339. The next prime is 133473792356389. The reversal of 133473792356352 is 253653297374331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133473792356352 is a `hidden beast` number, since 1 + 3 + 3 + 47 + 3 + 7 + 9 + 23 + 563 + 5 + 2 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 133473792356352 = 6384³ + 51072³ = 28728³ + 47880³.

It is a self number, because there is not a number n which added to its sum of digits gives 133473792356352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 7024936439799 + ... + 7024936439817.

Almost surely, 2^{133473792356352} is an apocalyptic number.

133473792356352 is a gapful number since it is divisible by the number (12) 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 133473792356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246310206208600).

133473792356352 is an abundant number, since it is smaller than the sum of its proper divisors (359146620060848).

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

133473792356352 is an frugal number, since it uses more digits than its factorization.

133473792356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 31 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 63.

133473792356352 divided by its sum of digits (63) gives a square (2118631624704 = 1455552²).

The spelling of 133473792356352 in words is "one hundred thirty-three trillion, four hundred seventy-three billion, seven hundred ninety-two million, three hundred fifty-six thousand, three hundred fifty-two".