132970165440 has 448 divisors, whose sum is σ = 512867696640. Its totient is φ = 28511170560.

The previous prime is 132970165417. The next prime is 132970165477. The reversal of 132970165440 is 44561079231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132970165392 and 132970165401.

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, 13145985 + ... + 13156095.

Almost surely, 2^132970165440 is an apocalyptic number.

132970165440 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 132970165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256433848320).

132970165440 is an abundant number, since it is smaller than the sum of its proper divisors (379897531200).

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

132970165440 is a wasteful number, since it uses less digits than its factorization.

132970165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 132970165440 in words is "one hundred thirty-two billion, nine hundred seventy million, one hundred sixty-five thousand, four hundred forty".