132124291934880 has 1152 divisors, whose sum is σ = 530738584588800. Its totient is φ = 27420392423424.

The previous prime is 132124291934819. The next prime is 132124291934881. The reversal of 132124291934880 is 88439192421231.

It is a super-2 number, since 2×132124291934880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132124291934880.

It is not an unprimeable number, because it can be changed into a prime (132124291934881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16337858197 + ... + 16337866283.

It is an arithmetic number, because the mean of its divisors is an integer number (460710576900).

Almost surely, 2^{132124291934880} is an apocalyptic number.

132124291934880 is a gapful number since it is divisible by the number (10) 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 132124291934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265369292294400).

132124291934880 is an abundant number, since it is smaller than the sum of its proper divisors (398614292653920).

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

132124291934880 is a wasteful number, since it uses less digits than its factorization.

132124291934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 132124291934880 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, two hundred ninety-one million, nine hundred thirty-four thousand, eight hundred eighty".