132524245440 has 168 divisors, whose sum is σ = 456946741680. Its totient is φ = 35253080064.

The previous prime is 132524245423. The next prime is 132524245457. The reversal of 132524245440 is 44542425231.

132524245440 is a `hidden beast` number, since 1 + 325 + 242 + 4 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (132524245423) and next prime (132524245457).

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

It is a junction number, because it is equal to n+sod(n) for n = 132524245395 and 132524245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121667 + ... + 1234173.

Almost surely, 2^132524245440 is an apocalyptic number.

132524245440 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 132524245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228473370840).

132524245440 is an abundant number, since it is smaller than the sum of its proper divisors (324422496240).

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

132524245440 is a wasteful number, since it uses less digits than its factorization.

132524245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112939 (or 112926 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 132524245440 in words is "one hundred thirty-two billion, five hundred twenty-four million, two hundred forty-five thousand, four hundred forty".