132787898643840 has 512 divisors, whose sum is σ = 470810062656000. Its totient is φ = 31562027827200.

The previous prime is 132787898643809. The next prime is 132787898643853. The reversal of 132787898643840 is 48346898787231.

It is a super-2 number, since 2×132787898643840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403079511 + ... + 403408809.

It is an arithmetic number, because the mean of its divisors is an integer number (919550903625).

Almost surely, 2^{132787898643840} is an apocalyptic number.

132787898643840 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 132787898643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235405031328000).

132787898643840 is an abundant number, since it is smaller than the sum of its proper divisors (338022164012160).

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

132787898643840 is a wasteful number, since it uses less digits than its factorization.

132787898643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329706 (or 329694 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 78.

The spelling of 132787898643840 in words is "one hundred thirty-two trillion, seven hundred eighty-seven billion, eight hundred ninety-eight million, six hundred forty-three thousand, eight hundred forty".