131225574480 has 1920 divisors, whose sum is σ = 612824776704. Its totient is φ = 22481141760.

The previous prime is 131225574479. The next prime is 131225574481. The reversal of 131225574480 is 84475522131.

It is an interprime number because it is at equal distance from previous prime (131225574479) and next prime (131225574481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131225574481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1033272177 + ... + 1033272303.

Almost surely, 2^131225574480 is an apocalyptic number.

131225574480 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 131225574480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306412388352).

131225574480 is an abundant number, since it is smaller than the sum of its proper divisors (481599202224).

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

131225574480 is a wasteful number, since it uses less digits than its factorization.

131225574480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 131225574480 in words is "one hundred thirty-one billion, two hundred twenty-five million, five hundred seventy-four thousand, four hundred eighty".