131948651520 has 528 divisors, whose sum is σ = 526790504448. Its totient is φ = 29912924160.

The previous prime is 131948651501. The next prime is 131948651533. The reversal of 131948651520 is 25156849131.

It is a happy number.

131948651520 is a `hidden beast` number, since 1 + 3 + 19 + 486 + 5 + 152 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40963510 + ... + 40966730.

Almost surely, 2^131948651520 is an apocalyptic number.

131948651520 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 131948651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263395252224).

131948651520 is an abundant number, since it is smaller than the sum of its proper divisors (394841852928).

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

131948651520 is a wasteful number, since it uses less digits than its factorization.

131948651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 131948651520 in words is "one hundred thirty-one billion, nine hundred forty-eight million, six hundred fifty-one thousand, five hundred twenty".