131435503140 has 192 divisors, whose sum is σ = 402356183040. Its totient is φ = 31935098880.

The previous prime is 131435503097. The next prime is 131435503151. The reversal of 131435503140 is 41305534131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131435503098 and 131435503107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749012 + ... + 5771828.

It is an arithmetic number, because the mean of its divisors is an integer number (2095605120).

Almost surely, 2^131435503140 is an apocalyptic number.

131435503140 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 131435503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201178091520).

131435503140 is an abundant number, since it is smaller than the sum of its proper divisors (270920679900).

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

131435503140 is a wasteful number, since it uses less digits than its factorization.

131435503140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23042 (or 23040 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 131435503140 in words is "one hundred thirty-one billion, four hundred thirty-five million, five hundred three thousand, one hundred forty".