131758848 has 216 divisors, whose sum is σ = 421857072. Its totient is φ = 39297024.

The previous prime is 131758819. The next prime is 131758943. The reversal of 131758848 is 848857131.

It is a happy number.

131758848 is a `hidden beast` number, since 13 + 17 + 588 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1587415 + ... + 1587497.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042).

Almost surely, 2^131758848 is an apocalyptic number.

131758848 is a gapful number since it is divisible by the number (18) 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 131758848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928536).

131758848 is an abundant number, since it is smaller than the sum of its proper divisors (290098224).

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

131758848 is a wasteful number, since it uses less digits than its factorization.

131758848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 131758848 is about 11478.6257017119. The cubic root of 131758848 is about 508.8540823015.

The spelling of 131758848 in words is "one hundred thirty-one million, seven hundred fifty-eight thousand, eight hundred forty-eight".