131761503000 has 768 divisors, whose sum is σ = 483394728960. Its totient is φ = 32288256000.

The previous prime is 131761502989. The next prime is 131761503001. The reversal of 131761503000 is 305167131.

131761503000 is a `hidden beast` number, since 1 + 3 + 17 + 615 + 0 + 30 + 0 + 0 = 666.

It is a super-2 number, since 2×131761503000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131761503001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1005812935 + ... + 1005813065.

It is an arithmetic number, because the mean of its divisors is an integer number (629420220).

Almost surely, 2^131761503000 is an apocalyptic number.

131761503000 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 131761503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241697364480).

131761503000 is an abundant number, since it is smaller than the sum of its proper divisors (351633225960).

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

131761503000 is a wasteful number, since it uses less digits than its factorization.

131761503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 131761503000 in words is "one hundred thirty-one billion, seven hundred sixty-one million, five hundred three thousand".