132985419840 has 1344 divisors, whose sum is σ = 597568446720. Its totient is φ = 27590492160.

The previous prime is 132985419839. The next prime is 132985419841. The reversal of 132985419840 is 48914589231.

It is a happy number.

132985419840 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 8 + 541 + 98 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132985419839) and next prime (132985419841).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132985419841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401768475 + ... + 401768805.

It is an arithmetic number, because the mean of its divisors is an integer number (444619380).

Almost surely, 2^132985419840 is an apocalyptic number.

132985419840 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 132985419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298784223360).

132985419840 is an abundant number, since it is smaller than the sum of its proper divisors (464583026880).

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

132985419840 is a wasteful number, since it uses less digits than its factorization.

132985419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 132985419840 in words is "one hundred thirty-two billion, nine hundred eighty-five million, four hundred nineteen thousand, eight hundred forty".