132578065152 has 216 divisors, whose sum is σ = 413091819504. Its totient is φ = 40651333632.

The previous prime is 132578065127. The next prime is 132578065153. The reversal of 132578065152 is 251560875231.

132578065152 is a `hidden beast` number, since 1 + 3 + 2 + 57 + 80 + 6 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132578065098 and 132578065107.

It is not an unprimeable number, because it can be changed into a prime (132578065153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8768383 + ... + 8783489.

Almost surely, 2^132578065152 is an apocalyptic number.

132578065152 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 132578065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206545909752).

132578065152 is an abundant number, since it is smaller than the sum of its proper divisors (280513754352).

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

132578065152 is a wasteful number, since it uses less digits than its factorization.

132578065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 132578065152 in words is "one hundred thirty-two billion, five hundred seventy-eight million, sixty-five thousand, one hundred fifty-two".