132533300148480 has 7776 divisors, whose sum is σ = 673624127554560. Its totient is φ = 24583128514560.

The previous prime is 132533300148479. The next prime is 132533300148511. The reversal of 132533300148480 is 84841003335231.

132533300148480 is a `hidden beast` number, since 1 + 3 + 2 + 533 + 30 + 0 + 1 + 4 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1978108957407 + ... + 1978108957473.

Almost surely, 2^{132533300148480} is an apocalyptic number.

132533300148480 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 132533300148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336812063777280).

132533300148480 is an abundant number, since it is smaller than the sum of its proper divisors (541090827406080).

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

132533300148480 is an equidigital number, since it uses as much as digits as its factorization.

132533300148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 132533300148480 in words is "one hundred thirty-two trillion, five hundred thirty-three billion, three hundred million, one hundred forty-eight thousand, four hundred eighty".