154800132480 has 1024 divisors, whose sum is σ = 650408140800. Its totient is φ = 34064105472.

The previous prime is 154800132457. The next prime is 154800132497. The reversal of 154800132480 is 84231008451.

154800132480 is a `hidden beast` number, since 1 + 5 + 48 + 0 + 0 + 132 + 480 = 666.

154800132480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415013574 + ... + 415013946.

It is an arithmetic number, because the mean of its divisors is an integer number (635164200).

Almost surely, 2^154800132480 is an apocalyptic number.

154800132480 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 154800132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325204070400).

154800132480 is an abundant number, since it is smaller than the sum of its proper divisors (495608008320).

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

154800132480 is a wasteful number, since it uses less digits than its factorization.

154800132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 154800132480 in words is "one hundred fifty-four billion, eight hundred million, one hundred thirty-two thousand, four hundred eighty".