132415505114220 has 288 divisors, whose sum is σ = 428530091371200. Its totient is φ = 32981264105472.

The previous prime is 132415505114197. The next prime is 132415505114273. The reversal of 132415505114220 is 22411505514231.

132415505114220 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 5 + 505 + 1 + 142 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211234011 + ... + 211859949.

It is an arithmetic number, because the mean of its divisors is an integer number (1487951706150).

Almost surely, 2^{132415505114220} is an apocalyptic number.

132415505114220 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 132415505114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214265045685600).

132415505114220 is an abundant number, since it is smaller than the sum of its proper divisors (296114586256980).

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

132415505114220 is a wasteful number, since it uses less digits than its factorization.

132415505114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626497 (or 626492 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 132415505114220 in words is "one hundred thirty-two trillion, four hundred fifteen billion, five hundred five million, one hundred fourteen thousand, two hundred twenty".