131902848 has 192 divisors, whose sum is σ = 473541120. Its totient is φ = 34237440.

The previous prime is 131902843. The next prime is 131902873. The reversal of 131902848 is 848209131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×131902848² = 34796722621022208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131902843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87961 + ... + 89447.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^131902848 is an apocalyptic number.

131902848 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 131902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

131902848 is an abundant number, since it is smaller than the sum of its proper divisors (341638272).

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

131902848 is a wasteful number, since it uses less digits than its factorization.

131902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 131902848 is about 11484.8965167301. The cubic root of 131902848 is about 509.0393913236.

The spelling of 131902848 in words is "one hundred thirty-one million, nine hundred two thousand, eight hundred forty-eight".