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131423136 = 25313314379
BaseRepresentation
bin1111101010101…
…01101110100000
3100011021222122120
413311111232200
5232121020021
621012504240
73154035555
oct765255640
9304258576
10131423136
1168204169
123801b080
13212c6490
1413650a2c
15b8102c6
hex7d55ba0

131423136 has 192 divisors, whose sum is σ = 397393920. Its totient is φ = 37739520.

The previous prime is 131423111. The next prime is 131423137. The reversal of 131423136 is 631324131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131423137) 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, 1663545 + ... + 1663623.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2131423136 is an apocalyptic number.

131423136 is a gapful number since it is divisible by the number (16) 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 131423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

131423136 is an abundant number, since it is smaller than the sum of its proper divisors (265970784).

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

131423136 is a wasteful number, since it uses less digits than its factorization.

131423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 131423136 is about 11463.9930216308. The cubic root of 131423136 is about 508.4215402847.

Adding to 131423136 its reverse (631324131), we get a palindrome (762747267).

The spelling of 131423136 in words is "one hundred thirty-one million, four hundred twenty-three thousand, one hundred thirty-six".