132662897224704 has 1760 divisors, whose sum is σ = 516571251609600. Its totient is φ = 32883925155840.

The previous prime is 132662897224691. The next prime is 132662897224723. The reversal of 132662897224704 is 407422798266231.

132662897224704 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 62 + 89 + 7 + 22 + 470 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90927276327 + ... + 90927277785.

It is an arithmetic number, because the mean of its divisors is an integer number (293506392960).

Almost surely, 2^{132662897224704} is an apocalyptic number.

132662897224704 is a gapful number since it is divisible by the number (14) 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 132662897224704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258285625804800).

132662897224704 is an abundant number, since it is smaller than the sum of its proper divisors (383908354384896).

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

132662897224704 is a wasteful number, since it uses less digits than its factorization.

132662897224704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 132662897224704 in words is "one hundred thirty-two trillion, six hundred sixty-two billion, eight hundred ninety-seven million, two hundred twenty-four thousand, seven hundred four".