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131252000 = 25531119157
BaseRepresentation
bin1111101001010…
…11111100100000
3100010222021220012
413310223330200
5232100031000
621005104052
73152423615
oct764537440
9303867805
10131252000
11680a7630
1237b58028
1321266609
141360850c
15b7c9735
hex7d2bf20

131252000 has 192 divisors, whose sum is σ = 372677760. Its totient is φ = 44928000.

The previous prime is 131251997. The next prime is 131252003. The reversal of 131252000 is 252131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131251997) and next prime (131252003).

It is not an unprimeable number, because it can be changed into a prime (131252003) 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, 835922 + ... + 836078.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2131252000 is an apocalyptic number.

131252000 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 131252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

131252000 is an abundant number, since it is smaller than the sum of its proper divisors (241425760).

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

131252000 is a wasteful number, since it uses less digits than its factorization.

131252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131252000 is about 11456.5265242132. The cubic root of 131252000 is about 508.2007597184.

The spelling of 131252000 in words is "one hundred thirty-one million, two hundred fifty-two thousand".