132257170362240 has 4608 divisors, whose sum is σ = 658358197056000. Its totient is φ = 24725168455680.

The previous prime is 132257170362211. The next prime is 132257170362259. The reversal of 132257170362240 is 42263071752231.

132257170362240 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 7 + 17 + 0 + 3 + 622 + 4 + 0 = 666.

132257170362240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132257170362240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83760081771 + ... + 83760083349.

It is an arithmetic number, because the mean of its divisors is an integer number (142872872625).

Almost surely, 2^{132257170362240} is an apocalyptic number.

132257170362240 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 132257170362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329179098528000).

132257170362240 is an abundant number, since it is smaller than the sum of its proper divisors (526101026693760).

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

132257170362240 is a wasteful number, since it uses less digits than its factorization.

132257170362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 132257170362240 in words is "one hundred thirty-two trillion, two hundred fifty-seven billion, one hundred seventy million, three hundred sixty-two thousand, two hundred forty".