131254824960 has 624 divisors, whose sum is σ = 542685072384. Its totient is φ = 28690219008.

The previous prime is 131254824947. The next prime is 131254825007. The reversal of 131254824960 is 69428452131.

131254824960 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 548 + 2 + 49 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 29673309 + ... + 29677731.

It is an arithmetic number, because the mean of its divisors is an integer number (869687616).

Almost surely, 2^131254824960 is an apocalyptic number.

131254824960 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 131254824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271342536192).

131254824960 is an abundant number, since it is smaller than the sum of its proper divisors (411430247424).

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

131254824960 is a wasteful number, since it uses less digits than its factorization.

131254824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 131254824960 in words is "one hundred thirty-one billion, two hundred fifty-four million, eight hundred twenty-four thousand, nine hundred sixty".