133531163715456 has 1536 divisors, whose sum is σ = 468622428019200. Its totient is φ = 37489029120000.

The previous prime is 133531163715449. The next prime is 133531163715463. The reversal of 133531163715456 is 654517361135331.

133531163715456 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 116 + 3 + 71 + 5 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (133531163715449) and next prime (133531163715463).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28710202731 + ... + 28710207381.

It is an arithmetic number, because the mean of its divisors is an integer number (305092726575).

Almost surely, 2^{133531163715456} is an apocalyptic number.

133531163715456 is a gapful number since it is divisible by the number (16) 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 133531163715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234311214009600).

133531163715456 is an abundant number, since it is smaller than the sum of its proper divisors (335091264303744).

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

133531163715456 is a wasteful number, since it uses less digits than its factorization.

133531163715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4826 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 133531163715456 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, one hundred sixty-three million, seven hundred fifteen thousand, four hundred fifty-six".