132516311040 has 1040 divisors, whose sum is σ = 520642501632. Its totient is φ = 32105299968.

The previous prime is 132516311033. The next prime is 132516311047. The reversal of 132516311040 is 40113615231.

It is a happy number.

132516311040 is a `hidden beast` number, since 1 + 3 + 25 + 1 + 631 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132516311033) and next prime (132516311047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132516310995 and 132516311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132516311047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043435457 + ... + 1043435583.

Almost surely, 2^132516311040 is an apocalyptic number.

132516311040 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 132516311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260321250816).

132516311040 is an abundant number, since it is smaller than the sum of its proper divisors (388126190592).

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

132516311040 is a wasteful number, since it uses less digits than its factorization.

132516311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 132516311040 its reverse (40113615231), we get a palindrome (172629926271).

It can be divided in two parts, 132516 and 311040, that added together give a square (443556 = 666²).

The spelling of 132516311040 in words is "one hundred thirty-two billion, five hundred sixteen million, three hundred eleven thousand, forty".