131738202000 has 240 divisors, whose sum is σ = 487184501232. Its totient is φ = 33063628800.

The previous prime is 131738201977. The next prime is 131738202053. The reversal of 131738202000 is 202837131.

It can be written as a sum of positive squares in 8 ways, for example, as 13481996544 + 118256205456 = 116112^2 + 343884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90742 + ... + 521258.

Almost surely, 2^131738202000 is an apocalyptic number.

131738202000 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 131738202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243592250616).

131738202000 is an abundant number, since it is smaller than the sum of its proper divisors (355446299232).

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

131738202000 is a wasteful number, since it uses less digits than its factorization.

131738202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430563 (or 430544 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 131738202000 in words is "one hundred thirty-one billion, seven hundred thirty-eight million, two hundred two thousand".