131533901291520 has 5376 divisors, whose sum is σ = 638579038003200. Its totient is φ = 25363186974720.

The previous prime is 131533901291503. The next prime is 131533901291563. The reversal of 131533901291520 is 25192109335131.

131533901291520 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 39 + 0 + 1 + 2 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 414933442402 + ... + 414933442718.

It is an arithmetic number, because the mean of its divisors is an integer number (118783303200).

Almost surely, 2^{131533901291520} is an apocalyptic number.

131533901291520 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 131533901291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319289519001600).

131533901291520 is an abundant number, since it is smaller than the sum of its proper divisors (507045136711680).

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

131533901291520 is a wasteful number, since it uses less digits than its factorization.

131533901291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 131533901291520 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, nine hundred one million, two hundred ninety-one thousand, five hundred twenty".