131970384 has 240 divisors, whose sum is σ = 472664192. Its totient is φ = 34712064.

The previous prime is 131970373. The next prime is 131970401. The reversal of 131970384 is 483079131.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 353622 + ... + 353994.

Almost surely, 2^131970384 is an apocalyptic number.

131970384 is a gapful number since it is divisible by the number (14) 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 131970384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236332096).

131970384 is an abundant number, since it is smaller than the sum of its proper divisors (340693808).

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

131970384 is a wasteful number, since it uses less digits than its factorization.

131970384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131970384 is about 11487.8363498093. The cubic root of 131970384 is about 509.1262547970.

The spelling of 131970384 in words is "one hundred thirty-one million, nine hundred seventy thousand, three hundred eighty-four".