132275236122480 has 640 divisors, whose sum is σ = 461214180403200. Its totient is φ = 31082309222400.

The previous prime is 132275236122473. The next prime is 132275236122509. The reversal of 132275236122480 is 84221632572231.

It is a happy number.

It is a super-2 number, since 2×132275236122480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10763704176 + ... + 10763716464.

It is an arithmetic number, because the mean of its divisors is an integer number (720647156880).

Almost surely, 2^{132275236122480} is an apocalyptic number.

132275236122480 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 132275236122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230607090201600).

132275236122480 is an abundant number, since it is smaller than the sum of its proper divisors (328938944280720).

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

132275236122480 is a wasteful number, since it uses less digits than its factorization.

132275236122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12993 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 132275236122480 in words is "one hundred thirty-two trillion, two hundred seventy-five billion, two hundred thirty-six million, one hundred twenty-two thousand, four hundred eighty".