133859471391072 has 576 divisors, whose sum is σ = 462287683952640. Its totient is φ = 35866798866432.

The previous prime is 133859471391067. The next prime is 133859471391097. The reversal of 133859471391072 is 270193174958331.

133859471391072 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 5 + 9 + 471 + 3 + 91 + 0 + 72 = 666.

It is a super-2 number, since 2×133859471391072² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14704979673 + ... + 14704988775.

It is an arithmetic number, because the mean of its divisors is an integer number (802582784640).

Almost surely, 2^{133859471391072} is an apocalyptic number.

133859471391072 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 133859471391072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231143841976320).

133859471391072 is an abundant number, since it is smaller than the sum of its proper divisors (328428212561568).

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

133859471391072 is a wasteful number, since it uses less digits than its factorization.

133859471391072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 133859471391072 in words is "one hundred thirty-three trillion, eight hundred fifty-nine billion, four hundred seventy-one million, three hundred ninety-one thousand, seventy-two".