131957616 has 80 divisors (see below), whose sum is σ = 390919424. Its totient is φ = 37573632.

The previous prime is 131957593. The next prime is 131957677. The reversal of 131957616 is 616759131.

It is a happy number.

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, 145035 + ... + 145941.

Almost surely, 2^131957616 is an apocalyptic number.

131957616 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 131957616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195459712).

131957616 is an abundant number, since it is smaller than the sum of its proper divisors (258961808).

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

131957616 is a wasteful number, since it uses less digits than its factorization.

131957616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 131957616 is about 11487.2806181446. The cubic root of 131957616 is about 509.1098351189.

The spelling of 131957616 in words is "one hundred thirty-one million, nine hundred fifty-seven thousand, six hundred sixteen".