131970816 has 144 divisors (see below), whose sum is σ = 397925920. Its totient is φ = 43130880.

The previous prime is 131970809. The next prime is 131970857. The reversal of 131970816 is 618079131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421476 + ... + 421788.

Almost surely, 2^131970816 is an apocalyptic number.

131970816 is a gapful number since it is divisible by the number (16) 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 131970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198962960).

131970816 is an abundant number, since it is smaller than the sum of its proper divisors (265955104).

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

131970816 is an equidigital number, since it uses as much as digits as its factorization.

131970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131970816 is about 11487.8551522902. The cubic root of 131970816 is about 509.1268103315.

The spelling of 131970816 in words is "one hundred thirty-one million, nine hundred seventy thousand, eight hundred sixteen".