132337834836480 has 6400 divisors, whose sum is σ = 649486430208000. Its totient is φ = 25598960271360.

The previous prime is 132337834836469. The next prime is 132337834836491. The reversal of 132337834836480 is 84638438733231.

132337834836480 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 7 + 83 + 48 + 36 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (132337834836469) and next prime (132337834836491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4268962414065 + ... + 4268962414095.

It is an arithmetic number, because the mean of its divisors is an integer number (101482254720).

Almost surely, 2^{132337834836480} is an apocalyptic number.

132337834836480 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 132337834836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324743215104000).

132337834836480 is an abundant number, since it is smaller than the sum of its proper divisors (517148595371520).

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

132337834836480 is an frugal number, since it uses more digits than its factorization.

132337834836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 132337834836480 in words is "one hundred thirty-two trillion, three hundred thirty-seven billion, eight hundred thirty-four million, eight hundred thirty-six thousand, four hundred eighty".