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131997888 = 26321183251
BaseRepresentation
bin1111101111000…
…10000011000000
3100012101012001200
413313202003000
5232242413023
621033101200
73161651331
oct767420300
9305335050
10131997888
1168566a70
1238257800
1321467c79
1413760288
15b8c5743
hex7de20c0

131997888 has 168 divisors, whose sum is σ = 419380416. Its totient is φ = 39360000.

The previous prime is 131997881. The next prime is 131997913. The reversal of 131997888 is 888799131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131997881) 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, 525763 + ... + 526013.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2131997888 is an apocalyptic number.

131997888 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 131997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

131997888 is an abundant number, since it is smaller than the sum of its proper divisors (287382528).

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

131997888 is a wasteful number, since it uses less digits than its factorization.

131997888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The square root of 131997888 is about 11489.0333797061. The cubic root of 131997888 is about 509.1616214083.

The spelling of 131997888 in words is "one hundred thirty-one million, nine hundred ninety-seven thousand, eight hundred eighty-eight".