131868048 has 160 divisors (see below), whose sum is σ = 401974272. Its totient is φ = 36864000.

The previous prime is 131868029. The next prime is 131868067. The reversal of 131868048 is 840868131.

131868048 = T₄₆₇ + T₄₆₈ + ... + T₉₆₂.

It is an interprime number because it is at equal distance from previous prime (131868029) and next prime (131868067).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 131867997 and 131868015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328648 + ... + 329048.

Almost surely, 2^131868048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200987136).

131868048 is an abundant number, since it is smaller than the sum of its proper divisors (270106224).

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

131868048 is a wasteful number, since it uses less digits than its factorization.

131868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 131868048 is about 11483.3813835473. The cubic root of 131868048 is about 508.9946206731.

The spelling of 131868048 in words is "one hundred thirty-one million, eight hundred sixty-eight thousand, forty-eight".