133474997553408 has 2160 divisors, whose sum is σ = 500214396616704. Its totient is φ = 34634219397120.

The previous prime is 133474997553397. The next prime is 133474997553421. The reversal of 133474997553408 is 804355799474331.

133474997553408 is a `hidden beast` number, since 1 + 3 + 3 + 47 + 49 + 9 + 7 + 5 + 534 + 0 + 8 = 666.

133474997553408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 206298295741 + ... + 206298296387.

Almost surely, 2^{133474997553408} is an apocalyptic number.

133474997553408 is a gapful number since it is divisible by the number (18) 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 133474997553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250107198308352).

133474997553408 is an abundant number, since it is smaller than the sum of its proper divisors (366739399063296).

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

133474997553408 is a wasteful number, since it uses less digits than its factorization.

133474997553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 133474997553408 in words is "one hundred thirty-three trillion, four hundred seventy-four billion, nine hundred ninety-seven million, five hundred fifty-three thousand, four hundred eight".