132733625336064 has 189 divisors, whose sum is σ = 397256315044813. Its totient is φ = 44242882753536.

The previous prime is 132733625336051. The next prime is 132733625336069. The reversal of 132733625336064 is 460633526337231.

The square root of 132733625336064 is 11521008.

It is a perfect power (a square), and thus also a powerful number.

132733625336064 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 3 + 6 + 25 + 3 + 3 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130750260113664 + 1983365222400 = 11434608^2 + 1408320^2 .

It is a super-2 number, since 2×132733625336064² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132733625336064.

It is not an unprimeable number, because it can be changed into a prime (132733625336069) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4977062122 + ... + 4977088790.

Almost surely, 2^{132733625336064} is an apocalyptic number.

132733625336064 is the 11521008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132733625336064

132733625336064 is an abundant number, since it is smaller than the sum of its proper divisors (264522689708749).

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

132733625336064 is an frugal number, since it uses more digits than its factorization.

132733625336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53372 (or 26674 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 54.

The spelling of 132733625336064 in words is "one hundred thirty-two trillion, seven hundred thirty-three billion, six hundred twenty-five million, three hundred thirty-six thousand, sixty-four".