131435414402140 has 48 divisors (see below), whose sum is σ = 276749283333600. Its totient is φ = 52434188980992.

The previous prime is 131435414402101. The next prime is 131435414402147. The reversal of 131435414402140 is 41204414534131.

It is a super-3 number, since 3×131435414402140³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131435414402140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435414402147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355749426 + ... + 356118694.

It is an arithmetic number, because the mean of its divisors is an integer number (5765610069450).

Almost surely, 2^{131435414402140} is an apocalyptic number.

131435414402140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131435414402140 is an abundant number, since it is smaller than the sum of its proper divisors (145313868931460).

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

131435414402140 is a wasteful number, since it uses less digits than its factorization.

131435414402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416614 (or 416612 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 131435414402140 its reverse (41204414534131), we get a palindrome (172639828936271).

The spelling of 131435414402140 in words is "one hundred thirty-one trillion, four hundred thirty-five billion, four hundred fourteen million, four hundred two thousand, one hundred forty".