131362000 has 160 divisors (see below), whose sum is σ = 396474624. Its totient is φ = 40896000.

The previous prime is 131361961. The next prime is 131362001. The reversal of 131362000 is 263131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131362001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153574 + ... + 154426.

Almost surely, 2^131362000 is an apocalyptic number.

131362000 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 131362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

131362000 is an abundant number, since it is smaller than the sum of its proper divisors (265112624).

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

131362000 is a wasteful number, since it uses less digits than its factorization.

131362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131362000 is about 11461.3262757850. The cubic root of 131362000 is about 508.3426914578.

The spelling of 131362000 in words is "one hundred thirty-one million, three hundred sixty-two thousand".