131778240 has 112 divisors (see below), whose sum is σ = 456468480. Its totient is φ = 31943680.

The previous prime is 131778221. The next prime is 131778259. The reversal of 131778240 is 42877131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131778221) and next prime (131778259).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 8.

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, 4321 + ... + 16799.

Almost surely, 2^131778240 is an apocalyptic number.

131778240 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 131778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

131778240 is an abundant number, since it is smaller than the sum of its proper divisors (324690240).

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

131778240 is a wasteful number, since it uses less digits than its factorization.

131778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 131778240 is about 11479.4703710581. The cubic root of 131778240 is about 508.8790451141.

The spelling of 131778240 in words is "one hundred thirty-one million, seven hundred seventy-eight thousand, two hundred forty".