133454211072 has 864 divisors, whose sum is σ = 466105479840. Its totient is φ = 33814609920.

The previous prime is 133454211061. The next prime is 133454211083. The reversal of 133454211072 is 270112454331.

133454211072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133454211061) and next prime (133454211083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2187773922 + ... + 2187773982.

It is an arithmetic number, because the mean of its divisors is an integer number (539473935).

Almost surely, 2^133454211072 is an apocalyptic number.

133454211072 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 133454211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233052739920).

133454211072 is an abundant number, since it is smaller than the sum of its proper divisors (332651268768).

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

133454211072 is a wasteful number, since it uses less digits than its factorization.

133454211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 133454211072 in words is "one hundred thirty-three billion, four hundred fifty-four million, two hundred eleven thousand, seventy-two".