131451462720 has 168 divisors, whose sum is σ = 453063985920. Its totient is φ = 34981954560.

The previous prime is 131451462719. The next prime is 131451462733. The reversal of 131451462720 is 27264154131.

131451462720 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 1 + 4 + 627 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367601 + ... + 1460559.

It is an arithmetic number, because the mean of its divisors is an integer number (2696809440).

Almost surely, 2^131451462720 is an apocalyptic number.

131451462720 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 131451462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226531992960).

131451462720 is an abundant number, since it is smaller than the sum of its proper divisors (321612523200).

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

131451462720 is a wasteful number, since it uses less digits than its factorization.

131451462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93473 (or 93460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 131451462720 in words is "one hundred thirty-one billion, four hundred fifty-one million, four hundred sixty-two thousand, seven hundred twenty".