131407020 has 72 divisors (see below), whose sum is σ = 403690560. Its totient is φ = 34594560.

The previous prime is 131407019. The next prime is 131407037. The reversal of 131407020 is 20704131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131406984 and 131407002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9600 + ... + 18840.

Almost surely, 2^131407020 is an apocalyptic number.

131407020 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 131407020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201845280).

131407020 is an abundant number, since it is smaller than the sum of its proper divisors (272283540).

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

131407020 is a wasteful number, since it uses less digits than its factorization.

131407020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9335 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131407020 is about 11463.2901036308. The cubic root of 131407020 is about 508.4007573978.

The spelling of 131407020 in words is "one hundred thirty-one million, four hundred seven thousand, twenty".