131838720 has 288 divisors, whose sum is σ = 480748800. Its totient is φ = 30523392.

The previous prime is 131838697. The next prime is 131838743. The reversal of 131838720 is 27838131.

It is an interprime number because it is at equal distance from previous prime (131838697) and next prime (131838743).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948411 + ... + 948549.

Almost surely, 2^131838720 is an apocalyptic number.

131838720 is a gapful number since it is divisible by the number (10) 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 131838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240374400).

131838720 is an abundant number, since it is smaller than the sum of its proper divisors (348910080).

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

131838720 is a wasteful number, since it uses less digits than its factorization.

131838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 131838720 is about 11482.1043367494. The cubic root of 131838720 is about 508.9568837048.

The spelling of 131838720 in words is "one hundred thirty-one million, eight hundred thirty-eight thousand, seven hundred twenty".