131893533720 has 768 divisors, whose sum is σ = 514578355200. Its totient is φ = 28983951360.

The previous prime is 131893533661. The next prime is 131893533731. The reversal of 131893533720 is 27335398131.

131893533720 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 93 + 533 + 7 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 130716576 + ... + 130717584.

It is an arithmetic number, because the mean of its divisors is an integer number (670023900).

Almost surely, 2^131893533720 is an apocalyptic number.

131893533720 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 131893533720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257289177600).

131893533720 is an abundant number, since it is smaller than the sum of its proper divisors (382684821480).

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

131893533720 is a wasteful number, since it uses less digits than its factorization.

131893533720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 131893533720 in words is "one hundred thirty-one billion, eight hundred ninety-three million, five hundred thirty-three thousand, seven hundred twenty".