132193357547520 has 384 divisors, whose sum is σ = 445697747913600. Its totient is φ = 33356939526144.

The previous prime is 132193357547513. The next prime is 132193357547543. The reversal of 132193357547520 is 25745753391231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497746284 + ... + 498011796.

It is an arithmetic number, because the mean of its divisors is an integer number (1160671218525).

Almost surely, 2^{132193357547520} is an apocalyptic number.

132193357547520 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 132193357547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222848873956800).

132193357547520 is an abundant number, since it is smaller than the sum of its proper divisors (313504390366080).

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

132193357547520 is a wasteful number, since it uses less digits than its factorization.

132193357547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266415 (or 266395 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 57.

The spelling of 132193357547520 in words is "one hundred thirty-two trillion, one hundred ninety-three billion, three hundred fifty-seven million, five hundred forty-seven thousand, five hundred twenty".