132154490880 has 768 divisors, whose sum is σ = 496860156000. Its totient is φ = 32388415488.

The previous prime is 132154490851. The next prime is 132154490917. The reversal of 132154490880 is 88094451231.

132154490880 is a `hidden beast` number, since 1 + 3 + 2 + 154 + 490 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1484881876 + ... + 1484881964.

Almost surely, 2^132154490880 is an apocalyptic number.

132154490880 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 132154490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248430078000).

132154490880 is an abundant number, since it is smaller than the sum of its proper divisors (364705665120).

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

132154490880 is an equidigital number, since it uses as much as digits as its factorization.

132154490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 132154490880 in words is "one hundred thirty-two billion, one hundred fifty-four million, four hundred ninety thousand, eight hundred eighty".