131434534140 has 384 divisors, whose sum is σ = 477926400000. Its totient is φ = 26208728064.

The previous prime is 131434534097. The next prime is 131434534177. The reversal of 131434534140 is 41435434131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51764991 + ... + 51767529.

It is an arithmetic number, because the mean of its divisors is an integer number (1244600000).

Almost surely, 2^131434534140 is an apocalyptic number.

131434534140 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 131434534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200000).

131434534140 is an abundant number, since it is smaller than the sum of its proper divisors (346491865860).

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

131434534140 is a wasteful number, since it uses less digits than its factorization.

131434534140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 131434534140 its reverse (41435434131), we get a palindrome (172869968271).

The spelling of 131434534140 in words is "one hundred thirty-one billion, four hundred thirty-four million, five hundred thirty-four thousand, one hundred forty".