132265034209440 has 1536 divisors, whose sum is σ = 536472037785600. Its totient is φ = 30121226403840.

The previous prime is 132265034209403. The next prime is 132265034209447. The reversal of 132265034209440 is 44902430562231.

132265034209440 is a `hidden beast` number, since 1 + 3 + 2 + 265 + 0 + 342 + 0 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×132265034209440² (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 not an unprimeable number, because it can be changed into a prime (132265034209447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16664357152 + ... + 16664365088.

It is an arithmetic number, because the mean of its divisors is an integer number (349265649600).

Almost surely, 2^{132265034209440} is an apocalyptic number.

132265034209440 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 132265034209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268236018892800).

132265034209440 is an abundant number, since it is smaller than the sum of its proper divisors (404207003576160).

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

132265034209440 is a wasteful number, since it uses less digits than its factorization.

132265034209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 132265034209440 in words is "one hundred thirty-two trillion, two hundred sixty-five billion, thirty-four million, two hundred nine thousand, four hundred forty".