132952516533760 has 640 divisors, whose sum is σ = 414970578468864. Its totient is φ = 39613377576960.

The previous prime is 132952516533709. The next prime is 132952516533833. The reversal of 132952516533760 is 67335615259231.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 132952516533695 and 132952516533704.

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, 8083685857 + ... + 8083702303.

Almost surely, 2^{132952516533760} is an apocalyptic number.

132952516533760 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 132952516533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207485289234432).

132952516533760 is an abundant number, since it is smaller than the sum of its proper divisors (282018061935104).

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

132952516533760 is a wasteful number, since it uses less digits than its factorization.

132952516533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18294 (or 18278 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 58.

The spelling of 132952516533760 in words is "one hundred thirty-two trillion, nine hundred fifty-two billion, five hundred sixteen million, five hundred thirty-three thousand, seven hundred sixty".