133461525512664 has 256 divisors, whose sum is σ = 390791039616000. Its totient is φ = 42086096640000.

The previous prime is 133461525512611. The next prime is 133461525512699. The reversal of 133461525512664 is 466215525164331.

133461525512664 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 1 + 5 + 2 + 551 + 26 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 133461525512664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11851652794 + ... + 11851664054.

It is an arithmetic number, because the mean of its divisors is an integer number (1526527498500).

Almost surely, 2^{133461525512664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133461525512664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195395519808000).

133461525512664 is an abundant number, since it is smaller than the sum of its proper divisors (257329514103336).

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

133461525512664 is a wasteful number, since it uses less digits than its factorization.

133461525512664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15117 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 133461525512664 in words is "one hundred thirty-three trillion, four hundred sixty-one billion, five hundred twenty-five million, five hundred twelve thousand, six hundred sixty-four".