131152020480 has 1408 divisors, whose sum is σ = 554635468800. Its totient is φ = 29079502848.

The previous prime is 131152020469. The next prime is 131152020497. The reversal of 131152020480 is 84020251131.

131152020480 is a `hidden beast` number, since 1 + 31 + 152 + 0 + 2 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 785341357 + ... + 785341523.

Almost surely, 2^131152020480 is an apocalyptic number.

131152020480 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 131152020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277317734400).

131152020480 is an abundant number, since it is smaller than the sum of its proper divisors (423483448320).

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

131152020480 is a wasteful number, since it uses less digits than its factorization.

131152020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 131152020480 in words is "one hundred thirty-one billion, one hundred fifty-two million, twenty thousand, four hundred eighty".