131416405120 has 256 divisors, whose sum is σ = 421821146880. Its totient is φ = 37809930240.

The previous prime is 131416405091. The next prime is 131416405139. The reversal of 131416405120 is 21504614131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538074 + ... + 743206.

It is an arithmetic number, because the mean of its divisors is an integer number (1647738855).

Almost surely, 2^131416405120 is an apocalyptic number.

131416405120 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 131416405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210910573440).

131416405120 is an abundant number, since it is smaller than the sum of its proper divisors (290404741760).

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

131416405120 is a wasteful number, since it uses less digits than its factorization.

131416405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205183 (or 205171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 131416405120 in words is "one hundred thirty-one billion, four hundred sixteen million, four hundred five thousand, one hundred twenty".